I've long said that based on the teaching of Trent, that even if one believes in BoD, one must hold that the Sacrament of Baptism remains the instrumental cause of said justification even in a BoD scenario.
But to read the "without the laver or the desire" passage the way BoDers do, one would have to say as the necessary logical corollary that justification can happen WITHOUT the Sacrament of Baptism ... but that is false, and condemned as heretical by the Council itself. This doesn't rule out BoD theory/speculation, but it's very clear that Trent is not actively teaching that justification CAN happen through the votum alone.