As an ignorant person, I am of the opinion that very little would have changed, because a series of evidence is emerging that seems to show continuity between the ecclesiastical policies of Maxentius and Constantine. Beyond the archaeological excavations that took place between 2019 and 2021 which should have confirmed the dating hypotheses of the Basilica Apostolorum and San Marcello, there are also the discoveries made by Diego Serra in 202, analyzing the Nani collection of the Marciana Library, two papyri which reported epistles signed by Basileus Maxentios
Academia.edu is a place to share and follow research.
urjc.academia.edu
Epostle 1, dates to 306 the text of the edict through which Maxentius granted freedom of worship to Christians from the beginning of his reign (according to the words of Eusebius of Caesarea and Optatus), formally repealing the repressive legislation of Docletian and of the ferocious father Maximian in the territories under his control, anticipating the Edict of Milan of 313.
Epistle 2, which should date back to shortly before the Battle of the Milvian Bridge, contains the rescript with which Maxentius, following the indications of the bishop of Rome, condemns the Donatist heresy, inviting its members to return to communion with the bishop of Rome, cajoling them with the possibility of rewards and threatening them to intervene with punitive laws.
Therefore, in the case of Maxentius' victory, even if with a longer time frame, Helen's commitment is lacking compared to OTL and the emperor maintains constant support for traditional religion, Christianity would still have established itself: given the Donatist progress , ITL the Council of Nicaea probably would not have been celebrated and given the support given by Maxentius to the theological positions professed by the church of Rome, the Arians and other Christological heresies would have been persecuted even more harshly than OTL