I was thinking the other day, is there any relation between St. Joseph having died under the Old Law and him not traditionally being included in the Canon?

I thought the problem with St. Joseph being in the Canon was that he was not a roman martyr. The main reason the others were there was because they were roman martyrs who served as the foundation of the roman rite.
Besides that, since he wasn't there to begin with: it's not a good idea to change the canon; even to add him, since that opens the door to more changes.

The original 62 missal, as OFFICIALLY approved by Pius XII (Pope John 23 only finished what Pius XII started), does not have St Joseph in the canon.  St Joseph was only added in a "revision" of the missal, which was confirmed by a liturgical commission.  So the addition of St Joseph is not part of the actual, papal-approved, original 62 missal.

Even if what you are saying is true, the name of St. Joseph in the Canon was already there in 1981 when referring to the 1962 Missal.

Even if what you are saying is true, the name of St. Joseph in the Canon was already there in 1981 when referring to the 1962 Missal.

The original edition of the 1962 edition does NOT have St Joseph in the canon.  Whatever missal you're referring to, is not the original edition.

The 1962 typical edition of the Roman Missal was promulgated by Pope John XXIII on June 23, 1962, the last of what might be referred to as the Tridentine missals, beginning with the missal promulgated by Pope St. Pius V following the Council of Trent.

Pope St. Pius V in 1570,
Pope Clement VIII in 1604,
Pope Urban VIII in 1634,
Pope Leo XIII in 1884,
Pope Benedict XV in 1920,
Pope John XXIII in 1962.

You may find the ORIGIONAL, ACTUAL, and ONLY edition of the 1962 Roman Missal here:
https://media.musicasacra.com/pdf/missale62.pdf

As I had stated, and is well docuмented, Pope Pius did not issue a new edition of the Roman Missal, he made changes to the rubrics of the 1920 Missal of Pope Benedict XV and inserted a revised liturgy for Palm Sunday, Holy Thursday, Good Friday, and Holy Saturday, principally involving the times these liturgies could be observed, into that Missal. He also allowed evening Masses (addressing the pastoral situation of workers in the industrial age when many had to work on Sunday mornings) and reduced the rigor of the fast before receiving Holy Communion. He did not insert the name of St. Joseph into the Communicantes of the Canon of the Mass, no one has said that he did. He was reposed in the Lord three years four months when the ACTUAL 1962 Missal was promulgated, and it does include the name of St. Joseph in the Communicantes of the Canon of the Mass, that is irrefutable. There was no edition of the "1962 Roman Missal" before June 23, 1962.

Let me simply this for you:

The 1962 typical edition of the Roman Missal was promulgated by Pope John XXIII on June 23, 1962

Correct.  This is the ORIGINAL edition.  It did NOT include St Joseph.

I've talked to people who print it.  It's common knowledge.

It is on p.873 with the opening words Novis hisce temporibus, dated 13th November 1962.

Yes, this is the SECOND, REVISED edition, which included St Joseph.

At this point, we need to be thankful we have valid orders and sacraments and traditional Catholicism. Many of these priests and bishops were/are jsut flat out wrong about a lot of things. Stick you Dogmas of the Church and work your way down. Stop worrying about the ins/outs of these very human men and their unfortunate circuмstances. Imagine the pain of knowing what to do during the crossing over of Vatican 2 as a bishop/priest. 

There were LOTS of "bad" cardinals/bishops throughout the history of the Church who, even in their alleged wickedness carried out God's will, knowingly or unknowingly. 

This unprecedented time of great apostasy in the Church is just that. unprecedented.