Friends, a poster in another thread wrote the following. I offer my response. Feel free to weigh in.

P.S.: Calling ɧoɱosɛҳųαƖs sodomites is not accurate either because the term sodomite has several meanings none of which is synonymous with ɧoɱosɛҳųαƖ. I urge you to consult your dictionary next time before you display your ignorance like that.

Wrongo bongo. Sodomite is the word traditionally applied to those who commit those perverse sins related to the perversion of what we now call ɧoɱosɛҳųαƖity (or more usually, amid today's breakdown, being gαy - what horrible abuse this formerly cheerful little word has suffered!), thus sodomy is traditionally specified as a category of the sins that cry out to heaven for vengeance. (You're unaware of such sins? Look into it.)

The word ɧoɱosɛҳųαƖity is a modern invention. According to the Oxford English Dictionary, the first recorded use of the word ɧoɱosɛҳųαƖity in English was recorded in 1892. It occurs in Richard Freiherr von Krafft-Ebbing's book Psychopathia sɛҳuąƖis, translated from the German by one C.G. Chaddock. The entry in the OED reads:

1892 C. G. CHADDOCK tr.Krafft-Ebing's Psychopathia sɛҳuąƖis III. 185 (heading) Great diminution or complete absence of sɛҳuąƖ feeling for the opposite sex, with substitution of sɛҳuąƖ feeling and instinct for the same sex. (Homo-sɛҳuąƖity, or contrary sɛҳuąƖ instinct.)

Yes, jllsjlls,  I urge you to consult your dictionary next time before you display your ignorance like that. Look into it, and you'll find that, indeed, sodomite is the word traditionally used in English to designate those who commit those abominable sins related their perverted attractions. (And please notice that, unlike the watered-down new Catechism of the Catholic Church, I said perverted, not disordered.)

Speaking of which, the fondness you've indicated for the new Catechism of the Catholic Church indicates that you've been heavily processed by the NewChurch. The idea that there could actually be things fundamentally wrong with the new Catechism seems outrageous, foreign, utterly alien to you. And so I again urge you to study this:

The New Catechism....Is It Catholic?

Understand: Part of the evil of the NewChurch processing you've received is that you haven't sufficiently learned to hate. This seems an astonishing thing to say, I know. But you don't have a deep hatred, a holy hatred, for sin. You've heard a lot about (false) love and (false) compassion, but very little of holy hate. This is why you prefer watered-down words like ɧoɱosɛҳųαƖ - and you probably even prefer gαy - instead of unvarnished words like fag or sodomite. In accord with the Orwellianism of the NewChurch, to take the edge off, you prefer to use the most morally neutral, distorting language possible. I won't participate in this whitewashing. Join me. Behold:

"[H]ave no fellowship with the unfruitful works of darkness, but rather reprove them. For the things that are done by them in secret, it is a shame even to speak of" (Eph. 5:11-12). "Do not be mismated with unbelievers. For what partnership have righteousness and iniquity? Or what fellowship has light with darkness? What accord has Christ with Belial? Or what has a believer in common with an unbeliever?" (2 Cor. 6:14-15). "I beseech you therefore, brethren, by the mercy of God, that you present your bodies a living sacrifice, holy, pleasing unto God, your reasonable service. And be not conformed to this world; but be reformed in the newness of your mind, that you may prove what is the good, and the acceptable, and the perfect will of God" (Rom. 12:1-2). "Do not love the world or the things in the world. If any one loves the world, love for the Father is not in him. For all that is in the world, the lust of the flesh and the lust of the eyes and the pride of life, is not of the Father but is of the world" (1 Jn. 2:15-16). "Adulterers, know you not that the friendship of this world is the enemy of God? Whosoever therefore will be a friend of this world, becometh an enemy of God" (Jam. 4:4). "And all that will live godly in Christ Jesus, shall suffer persecution" (2 Tim. 3:12).

"'If we be dead with Christ, we believe that we shall also live with Him' (Rom. 6:8). To be dead with Christ, is to hate and turn from sin; and to live with Him, is to have our hearts and minds turned towards God and Heaven. To be dead to sin, is to feel a disgust at it. We know what is meant by disgust...."

-John Henry Newman, http://www.newmanreader.org/works/parochial/volume7/sermon13.html

"A man says to himself, 'How am I to know I am in earnest?' I would suggest to him, Make some sacrifice, do some distasteful thing, which you are not actually obliged to do, (so that it be lawful,) to bring home to your mind that in fact you do love your Saviour, that you do hate sin, that you do hate your sinful nature, that you have put aside the present world."

-John Henry Newman, http://www.newmanreader.org/works/parochial/volume1/sermon5.html

"To be holy is, in our Church's words, to have 'the true circuмcision of the Spirit;' that is, to be separate from sin, to hate the works of the world, the flesh, and the devil; to take pleasure in keeping God's commandments; to do things as He would have us do them; to live habitually as in the sight of the world to come, as if we had broken the ties of this life, and were dead already. Why cannot we be saved without possessing such a frame and temper of mind?...."

-John Henry Newman, http://www.newmanreader.org/works/parochial/volume1/sermon1.html

Christian, would'st thou learn to love?
First learn thee how to hate.
Hatred of sin and zeal and fear
Lead up the Holy Hill;
Track them, till charity appear
A self-denial still.

-John Henry Newman, http://www.newmanreader.org/biography/jafroude.html

Do I not hate them that hate thee, O Lord?
And do I not loathe them that rise up against thee?
I hate them with perfect hatred;*
I count them my enemies.

-Psalm 139 (RSV) (138, Douay-Rheims) : 21-22

*Note, Douay-Rheims, Challoner: "Not with an hatred of malice, but a zeal for the observance of God's commandments; which he saw were despised by the wicked, who are to be considered enemies to God."

"He who is not with me is against me, and he who does not gather with me scatters."

-God, Mt. 12:30

Such is the Church Militant. Join it.

Jitpring, I'm unaware of the original context, but I would agree with the OP that the two terms are not synonymous.

Quote from: Koch-Preuss, Handbook of Moral Theology

SINS THAT CRY TO HEAVEN

b)SODOMY is the sin for which Sodom and Gomorrah were destroyed by God. The term includes all kinds of unnatural copulation, particularly when committed between persons of the same sex, and all practices aiming at the prevention of conception.

Sodomy is closely related to murder. Both crimes are directed against the preservation of the human race, and, moreover, cruelty and lust, heartlessness and debauchery, bloodthirst and unchastity (Sadism, Masochism) usually go hand in hand. Holy Scripture condemns the conduct of Onan, not only because he had a wicked intention, but because he did a detestable thing.

This is hardly some misquoted Old Testament verse. Sodomy is a sin that cries to Heaven for vengeance.

If you want everyone to understand what you mean, then "ɧoɱosɛҳųαƖ" is probably the best term.

How about calling them aberrosɛҳuąƖ?

My pet hate is the use of the word "gαy" to describe ɧoɱosɛҳųαƖ perversion.

The word "ɧoɱosɛҳųαƖ" is only about a century old, and it doesn't even make sense etymologically: "human-sɛҳuąƖ"? That makes it sound like beings that copulate only with humans…

aberrant: deviating from the usual or natural type: atypical, abnormal; straying from the right or normal way

No, I don't believe that word is the ideal one - not specific enough. There is aberrosɛҳuąƖity that is neither ɧoɱosɛҳųαƖity nor sodomy.

My pet hate is the use of the word "gαy" to describe ɧoɱosɛҳųαƖ perversion.

Yes, that is a clear word. I would also suggest pervert or rather "those who choose to engage in perversion."
Since we are to hate the sin but love the sinner, it's better to use a term which describes the despicable behavior a person chooses to engage in, rather than a term which describes the person.
That's one reason I prefer the term "sodomite" to the term "ɧoɱosɛҳųαƖ." A person may have an inclination to that particular sin (ɧoɱosɛҳųαƖ orientation) and not act on it.
That is the difference between the Catholic group called Courage for those who are committed to the Church and committed to avoiding that sin -- and the other N.O. Catholic group misnamed Dignity which is for those who choose sin and pretend to be Catholics at the same time.