If you believe that Trent taught BoD, then Trent says that no one can be justified except by either the Sacrament or the Desire for it. It Trent taught that, then BoB doesn't exist except in being reduced to BoD. But that rejects 99% of all the theological speculation regarding BoB (rendering their entire theology on the subject suspect) because all these BoB theorists describe BoB as working quasi ex opere operato. Also it refutes the stupid argument from the Holy Innocents, because then BoB cannot work ex opere operato on those who are not endowed with the use of reason. Finally, it completely overturns the many Church Fathers who believed in BoB but at the same time explicitly rejected BoD. It also rejects the stupid "three baptisms" garbage, because then there are really only TWO Baptisms. Everywhere you turn, you BoD theorists make yourselves look more and more ridiculous and absurd and self-contradictory.
If you believe that Trent taught BoD, making the Sacrament or desire being either/or, then you would have Trent anathematizing itself in the canons where it declares that the Sacrament cannot justify without the cooperation of the will (="votum"). In fact, the ENTIRE POINT OF THE TREATISE ON JUSTIFICATION is to discuss the relationship between grace and free will, in particular the Sacramental grace and the proper cooperation and disposition of the will ... and NOT to teach BoD ... against the errors of the Protestants. In fact, the point of the treatise on justification is to defend the NECESSITY of the Sacraments for salvation ... against the Protestant errors (which most of you BoD theorists actually hold and therefore fall under Trent's anathemas). Despite Mr. Kramer's bloviations about anathemas, it's he who falls under Trent's anathema. Ironic, isn't it?
If you believe that Trent taught BoD, you'd be making Trent say, "You can be saved by either the Sacrament OR the desire because Jesus taught that you need the Sacrament AND the desire." You would make a mockery of the Magisterium.
Everwhere you turn BoB and BoD theology are nothing but absurd speculation that's self-contradictory. Dimonds point out very well how St. Thomas and St. Alphonsus were completely wrong about their explanation of BoD ... declaring that it does not remit all the temporal punishment due to sin (which contradicts Church Magisterium regarding justification).
It's all MADE UP. What says that BoB cannot confer the Baptismal character? Why not? God is not bound by His Sacraments after all? Why CAN'T He imprint the Baptismal Character in an extraordinary way in BoB?
BoD is a sad joke that has led to nothing good whatsoever ... everywhere you turn it has heretical implications (God is bound by impossibility ... though not by the Sacraments, the Sacraments are not necessary for salvation, gnostic Pelagianism, stupid self-contradictory arguments, religious indifferentism, Vatican II).