There is more to it than that. The Finn-Ugric and the Ural-Altaic races were related (this is currently being debated with the hypothesis that the Finn-Ugric are a branch of the Altaic languages). The Finn (Sami) have been around 6000-8000BC and possible of common stock to the proto-Magyars. Evidence that the Magyar Diaspora extended from the Chinese Hun (as opposed to the Han Chinese culture), to Scythia (Szekely), Mesopotamia (Sumer) has been around for more than a century and is still hotly debated. 
Zoroastrian (Parsi) fire temple worship origins in time are still not known and can extend from 6000BCE to 1100 AD.