I kinda regret the ellipsis regarding Silas not being in the Paulines. It opens a whole other box of unresolvable puzzles. While it is everywhere stated that Silas and Silvanus are the same person, (even some translations substituting Silas in the Paulies) it is not as simple as that. They are different names with different roots. Suffice it to say, at least many believe the names were originally intended to identify the same character while a minority hold the connection to be secondary but found useful . I admit it could be either way.
If the identification of Silas with Silvanus was originally intentional it might be another example of the author intending to unite the churches which were historically rivals. If the traditional linking of the names was secondary it serves the same purpose.
Earlier I referenced Acts 6:
5 What they said pleased the whole community, and they chose Stephen, a man full of faith and the Holy Spirit, together with Philip, Prochorus, Nicanor, Timon, Parmenas, and Nicolaus, a proselyte of Antioch.
Here Acts includes a certain Nicolaus a proselyte (meaning converted to Judaism) of Antioch as among those authorized to dispense food equitably (7 deacons by Catholic tradition) when "Hellenists" declared they were being treated discriminately. Even here we see a cultural/religious division reported but presented as being corrected by the leaders of the Jerusalem church. "Hellenists" likely was a reference to a branch of Xtianity with affinity to Paul's particular brand. Further the Nicolaus of Antioch was a Paulinist who had his own branch of Xtianity. According to Irenaeus:
3. The Nicolaitanes are the followers of that Nicolas who was one of the seven first ordained to the diaconate by the apostles. They lead lives of unrestrained indulgence. The character of these men is very plainly pointed out in the Apocalypse of John, as teaching that it is a matter of indifference to practice adultery, and to eat things sacrificed to idols. Wherefore the Word has also spoken of them thus: But this you have, that you hate the deeds of the Nicolaitanes, which I also hate.
Hippolytus describes him:
But Nicolaus has been a cause of the wide-spread combination of these wicked men. He, as one of the seven (that were chosen) for the diaconate, was appointed by the Apostles. (But Nicolaus) departed from correct doctrine, and was in the habit of inculcating indifferency of both life and food. And when the disciples (of Nicolaus) continued to offer insult to the Holy Spirit, John reproved them in the Apocalypse as fornicators and eaters of things offered unto idols.
Surely we see a pattern, Paulinist positions are being refuted while at the same time alleging the various branches had a peaceful united origin.