Decem, you're completely (and it would seem, deliberately, since this has been pointed out) distorting the opinion of St. Alphonsus. St. Alphonsus, as quoted by Last Trad, and even by pro-BoD-zealot XavierSem, clearly held that explicit faith in the Holy Trinity and Incarnation were necessary for salvation. In terms of his allowing for Rewarder God theory to be considered a possible opinion (that is what the term "probable" means in theology, that it has some possibility of being true) was simply wrong and contradicts a ruling from the Holy Office about which he appeared to be unaware. This requirement for explicit faith in the Holy Trinity and Incarnation were taught and believed universally by the entire Church for nearly 1600 years, and if that doesn't qualify as an infallible teaching of the OUM, then there's no such thing as an infallible teaching of the OUM. Of course, the infallibility of the OUM had not yet been defined, which is why he was mistaken on this point. So he was mistaken in not denouncing Rewarder God theory as heresy. It is in fact heresy by every theological standard. It is not heresy not to assign the proper theological note to something ... just a mistake. He didn't actually believe in Rewarder God theory himself.
As I've pointed out a dozen times now, it is Rewarder God theory which I denounce as heretical. I have never denounced BoD as heretical, but rather its false extension to infidels, those without explicit Catholic faith.
So you distort the teaching of St. Alphonsus, and distort my position at the same time. Even XavierSem acknowledges what St. Alphonsus taught about this matter, and agrees that the requirement of explicit faith in these core mysteries is definable as dogma.