The Church has NEVER taught that water Baptism was ABSOLUTE. The Church has ALWAYS allowed for Baptism of Desire and Blood as you well know. Those are exceptions to the rule, but exceptions non-the-less.
Infants cannot desire Baptism of water either--yet we baptize them based on the desires of their parents. That same desire could apply should they die without baptism.
And note by the way---misunderstanding the Church teaching on Baptism has lead to elderly grandparents today pressuring their children to get their grandchildren baptized---when their children only do so to get the grandparents off their back. The ceremony has no meaning for them and they do not care about it. Baptism isn't magic. The people asking for Baptism---it has to mean something to them.
Since I have NEVER seen you cite one source of Catholic dogma to back up your OPINIONS, I guess I will go through the ABC's of Catholicism, since apparently you never learned any of it in the course of your "theology" studies.
Our first parents in paradise sinned grievously through transgression of the Divine probationary commandment. This was defined at the Council of Trent it it's Decree on Original Sin.
Our first parents became subject to death and to the dominion of the Devil. - Council of Trent
Adam's sin is transmitted to his posterity, not by imitation, but by descent. - Synods of Carthage and of Orange, also Trent.
Original sin is transmitted by natural generation. - Trent
Souls who depart this life in the state of original sin are excluded from the Beatific Vision of God. - 2nd General Council of Lyons (1274) and the Council of Florence
Baptism confers the grace of justification and effects the remission of all punishments of sin, both the eternal and the temporal. - Trent
Baptism by water is, since the promulgation of the Gospel,
necessary for all men without exception, for salvation. - Trent
In case of emergency Baptism by water can be replaced by baptism of desire or baptism by blood.
The Council of Trent teaches that justification from original sin is not possible "without the washing unto regeneration or the desire for the same." This baptism of desire would certainly apply to those who have an explicit desire for baptism such as catechumens who die before they are baptized, such as Emperor Valentine II.
The Holy Innocents are celebrated in the liturgy as saints as they died for the sake of Christ and were not baptized.
The idea that other means of baptism for children dying without sacramental baptism can suffice, such as prayer or desire of the parents or the Church or suffering and death of the child as quasi-sacrament is speculation and has never been defined and their actuality cannot be proved from Revelation.
St. Augustine and many Latin Fathers are of the opinion that children dying in original sin must suffer "
poena sensus", which will be felt by the senses even after the resurrection of the body, even if only a very mild one. The Greek Fathers, for example, St. Gregory of Nazianzus, and the majority of the Schoolmen and more recent theologians, teach that they suffer "
poena danmi" only, which is the exclusion of the Beatific Vision and are in a condition of natural bliss. The declaration of Pope Innocent II is in favor of this teaching.
Theologians usually assume that there is a special place or state for children dying without baptism which they call limbus puerorum (children's Limbo). Pope Pius VI adopted this view.
I want to know something by the way: why do you always speak in absolutist terms about everything? "Unbaptized babies cannot be saved" and so forth? Why not just commend them to God? Do you know the damage your kind of absolutism does to parents who might have had a stillborn?
Trust me, sir, sometimes, it is okay not to have all the answers and allow people hope.
Catholicism is the most dogmatic of all religions. Popes, saints, doctors of the Church and councils for many centuries have refined and more explicitly defined the Church's teaching in more detail. Of course, none of that means anything to you and your religion of opinions.
I only post what the Church teaches, which has no relevance to you.