Council of Trent:
"And this translation, since the promulgation of the Gospel, 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."
-And-
"CANON IV.-If any one saith, that the sacraments of the New Law are not necessary unto salvation, but superfluous; and that, without them, or without the desire thereof, men obtain of God, through faith alone, the grace of justification;-though all (the sacraments) are not indeed necessary for every individual; let him be anathema."
If you agree with Trent, then you agree Trent's Canons are infallible. Using Trent for your answers, these will be your answers to the following questions:
Q) Are the sacraments necessary for salvation?
A) The sacraments are necessary for salvation.
Q) Can a man obtain justification without the sacraments?
A) No, man cannot achieve justification without the sacraments.
Q) Can a man obtain justification with a desire for the sacraments?
A) No, man cannot achieve justification without the desire for the sacraments.
Q) Where does Trent teach man can obtain salvation with a desire for the sacrament?
A) Trent does not teach man can obtain salvation with a desire for the sacrament.
In the above canons, The Church through Trent, teaches a) that the sacraments are necessary for salvation, and b) that justification is not achieved without either the sacrament or the desire for the sacrament.
All we can do, indeed, what we are in fact bound to do, is repeat Trent and say; the sacraments are necessary for salvation and that without the sacrament or the desire for the sacraments, man does not achieve justification. That's the way Trent left it, that's the way we must leave it.
If anyone has any explanation as to how the Church's
"no justification without desire" was changed into
"salvation through desire", I'm all ears.