The Lunar Way tells us Following the Dara Happan Rebellion (1270–1285), the solar Buserian cult was fully integrated into the cult of Irrippi Ontor.
So what does this mean for Buserian? Most of the functions of the old scribal cult have been subsumed into that of Irrippi Ontor. The old cult continues to exist, but in the Heartlands scribes worship Irrippi Ontor as their patron and teacher. But that’s fine – Irrippi Ontor was once a priest of the old scribe god.
Lhankor Mhy is the Theyalan name for the God of Knowing/Literacy. Buserian is the Pelorian name for the God of Knowing/Literacy. In the early First Age, the Pelorians and the Theyalans developed their own independent literacy cults but by the end of the First Age it became clear that both worshiped the same Knowing God.
Be very wary about assuming that something like GRoY (which describes the mid-First Age) is particularly relevant to understanding the Third Age.
So Yuthuppa is ruled by hereditary priests of Buserian aka priests of LM. They of course call themselves Buseri – they speak Pelorian after all. But it is perhaps easier to think of Yuthuppa as a counterpoint to Nochet as a center of literacy tradition.
Gods are of course greater than human cultures, and it is much easier to assume that two gods with the same area of power are the same god with different names than to assume that there are two completely different gods of the same thing just because two different group of humans gave them different names. Now I admit that is MUCH harder for most of us moderns, as we have accepted whole-hog the idea that gods are cultural constructs and not fundamental parts of the world. And it seems to me that we even insist on that in our fantasy.