As to what Ladislaus said, I guess we shouldn't be holding out much hope for the baptized who die before the age of reason (or the age of desire, as it were).
If BOD "simply" does not exist, then you disagree with Ladislaus who (his quoted post notwithstanding) has mentioned several times that he believes in BOD for the catechumen, just not for non-catechumens (he's quite fond of making this distinction, actually).
As SJB is wont to say, I don't think you know what you even believe.
The baptized who die before the age of reason go straight to Heaven (they are considered part of the elect). They do not have Original Sin, having this been remitted through Baptism; and they are not guilty of actual sins since they still don't reach the age of reason.
I do know what I believe and here it is:
There has been some theological speculation and fallible Church teaching on BOD / BOB. We find it specially in what was printed after Modernism, but actually it started taking form after the Peace of Westphalia in which catholic monarchs started watering down the Faith for the purpose of co-existing with Protestant nations. Always this teaching has been in regards to
catechumens and martyrs only . Never BOD has been defined de fide. No theological conclusion is a dogma of faith however certain and evident the conclusion may be when the Church has not yet defined the question through her infallible magisterium.
Whereas I don't hold the BOD belief myself in any circuмstance (for the reason presented above, about God's omnipotence and promise to the elect), I would not have a problem with the concept of BOD
strictly for catechumens only (+ explicit Catholic Faith), if it had not been because it was exploited by the modernist liberals as to allow salvation for Non- Catholics.