Actually the history of Stroganoff is a messy one, it definately originated in russia, but we dont really know where or when, some are tomato based and some have no cream at all, some have freaking pickles in it. the true origins of the dish are lost.
The modern western strog is closer to chinese strog than any of the slavic strogs. Japanese strog is its own thing that seems to be based on an older recipe likely replicated from memory or from a vague description.