As for BoD and BoB, his position was that since we cannot know the state of a soul of a dying person because we cannot know his interior disposition (only God can discern the thought of our hearts), what becomes of such souls who have not been baptized is left to the providence of God. It's not OUR DECISION what happens. It's God's decision.
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BoB and BoD advocates like "RomanTheo" above are wont to rip that prerogative of God away from Him and make it their own.
That is absurd. Professing the Church's doctrine concerning baptism of desire, as understood and explained by every theologian since the Council of Trent, is not ripping any prerogative away from God. On the contrary, claiming that God
cannot save a person who has not been baptized by water is both removing the "decision" from God, and restricting His ability to justify soul by
requiring a created reality, upon which He is dependent. Such an idea subjects the Creator to a creature - the infinite to a finite.