What seems to be unclear:
Council of Trent
Session 6: Decree on Justification
Chapter 4: A brief description of the sinner's justification: its manner under the dispensation of grace.
Read carefully the title of Chapter 4. That whole section (quoted above) only refers to the concept of "justification." Nothing else. It says nothing about "salvation."
Yes, I agree overall, except it refers *not* to the 'concept', rather it refers to the *effect*; Justification "cannot be
effected without the laver of regeneration."
Note also what the description says, particularly the words "it's manner", which is to say Trent is teaching us "the manner in which justification is to be accomplished" which Trent, after saying how it cannot be accomplished without the laver or desire, quotes John 3:5 "as it is written" - this is how justification is to be effected, i.e. by the sacrament.
My opinion on a resolution:
I believe the solution to the apparent confusion is that people are failing to understand that "salvation" and "justification" are not the same thing. Session 6 of Trent is discussion of "justification" not "salvation."
A sinner can be "justified" by "a desire for the laver of regeneration" (my paraphrase of Session 6, chap.4). But sinner cannot be "saved" without the Sacrament of Baptism (Session 7, canon 5).
Here is where the BODers consistently misquote Trent.
Trent never even says the sacrament of baptism itself will certainly justify let alone save anyone, presumably because the sacrament(s) may be received sacrilegiously, Trent only says that:
1) without it no one is justified
2) without it no one is saved (John 3:5)
3) the desire thereof will not justify. Trent says this in Session 6.....Justification
"cannot be effected, without the laver of regeneration, or the desire thereof, as it is written; unless a man be born again of water and the Holy Ghost, he cannot enter into the Kingdom of God". Trent says "cannot be effected without the laver of regeneration or the desire thereof", why so many people read this as saying "cannot be effected without the laver of regeneration or [without] the desire thereof" is a mystery. This is where you believe I am reading it incorrectly, but I'm not the one reading it incorrectly, although I would be if the word "without" was in there.
In session 7, Trent condemns with anathema whoever says 1) the sacraments are not necessary for salvation, which agrees with session 6, and 2) without *them* or the desire thereof men obtain justification.
The BODers simply read and understand sessions 6 and 7 to mean what Trent clearly does not say. Whereas Trent in session 7 condemns the idea that justification is obtained without them or desire thereof, BODers claim Trent says that justification/salvation is certain to anyone at all who has the desire thereof - others do not even believe the desire thereof needs to be explicit. Boders say this is so certain, that a BOD is a doctrine, even a dogma defined at Trent, which is altogether wrong.