A Talmid Chochom does not, by definition, have to be tzadik. Nor does a tzadik, by definition, have to be a talmid chochom.
My comment didn’t address or dispute that. But now that you brought it up, while it is true that a tzadik does not, by definition, need to be a talmid chochom, OTOH a talmid chochom does by definition need to be a tzadik. A rasha who knows kol HaTorah kula is no “talmid chochom”.