Was Edwin really a Red Wizard? He still had his hair, no tattoos, and none of the Thayans we interacted with seemed to verify his rank/position.
According to the wiki:
According to BG2:EE dialogue with Rasaad, Edwin keeps his hood on at all times because he has trouble properly shaving his head in the Thayan fashion. This is unusual enough for Neera to call him a "non-bald Thay".
So he is a red wizard, but fitting his personality he is kinda bad at fitting in and meshing with them.