Romans 3:23 — “For all have sinned and fall short of the glory of God” Christ is God incarnate — and clearly those passages in Romans are not speaking of Him. The “reasoning” which is faulty here is your own.
Falling into one category does not remove from another.
That you have to reach outside the Bible to justify your rationalization is indicative of the dirty little secret of all Protestantism, that it is just as bound to the traditions of man as it accuses Catholicism of being.