Could any of the extinct Shia sects have survived or grown?

I'm doing a Musha'sha sect wank in my TL where the Safavids don't convert to shiism and they remain the prime contenders. They have managed to capture most of Persia proper.

They have grabbed power by appealing to a dual identity of Ahlul bayt and Timurid legitimacy ( the latter through marriage) after the Timurid civil war. Also since they are arabs and have their stronghold in the usual shia dominated southern Iraq, this gives them more credibility to the legacy of the imams.