There are two possibilities for "BOB/BOD" to be true. What we mean by "BOD/BOB" being true, is that someone who has not been visibly baptized could still be saved :
A)BOD and BOB are theological descriptions of a particular case of baptism, that is performed invisibly by God or His angels on those who cannot get baptized by other means through no fault of their own. That is, every single member of the Church (after Revelation) has been baptized, even if it wasn't done by humans. That is a theological possibility.
B)BOD and BOB describe conditions of the soul of someone who is not baptized where their culpability is reduced or where the necessity of baptism is circuмvented by God, and God directly gives the effect of baptism without the required sacrament. The catechism you are using as a source describes this possibility, which is what St Thomas Aquinas wrote about.
An act of perfect contrition requires wanting to do God's will, even without knowing about Revelation. That is "implicit" desire for baptism, because it's impossible to know about baptism for someone who never heard of the Gospels or of the Christian religion at all.
Practically, there is almost no difference at all between the two positions, because there is no way to know about what God does invisibly unless He specifically reveals it to someone.
In fact, the more I examine this, the less I understand where the conflict lies.
What were we even getting angry about? 
“Implicit desire” is the same thing taught by the Modernist Rahner and also at V2. It is 100% contrary to what St Thomas, St Bellarmine and St Alphonsus said, which is that BOD “could” apply but…only for FORMAL CATECHUMENS who were taking FORMAL classes to convert.
So here you are, proving that BOD isn’t a coherent theory because you are mixing and matching ideas and details to come up with an explanation which makes sense. Your explanation neither matches St Thomas nor St Alphonsus. Neither did St Thomas agree with St Augustine or St Alphonsus on the topic of remission of sins.
There is no docuмent or saint which fully and completely explains BOD. It’s a hodgepodge of theories, and your explanation is different from the saints and also every person I’ve ever debated on the topic.