You are right his color doctrinally does not matter. However as a point of prophecy it does, he is 100% jewish from the line of David.
The genealogy in Matthew’s Gospel lists several non-Hebrew ancestresses of Jesus. That doesn’t vitiate what I understand to be your point, I don’t think being overinvested in “pure” biology is helpful.
Jesus’ lineage specifically includes persons who were not born Jewish but who accepted Judaism.
Charlton Heston, in Ben Hur, used a little make-up to darken up. Few people even noticed. Ditto, Sophia Loren in Aida. Might I mention what Pavarotti did when he played Othello? Maybe I shouldn’t. The racists wouldn’t understand. Our God sees each of us as his precious child.
Jews were of Iraqi descent.
Actually, Christ came from the tribe of Judah, the king line and the tribe of Levi, the priest line... after the order of Melchizedek... the key of David tells the rest...