Only issue there was that if Luthor bargained for a new body, he'd have insisted it had a full head of red hair.
One of the funniest moments in the whole "Death of Superman" arc was Lex's disembodied brain checking up on the development of the "Lex Luthor Jnr" modifed clone body and getting all worked up making ABSOLUTELY sure that it would NOT have the early onset male pattern baldness problem that his original body had.