He’s definitely Bae in my books. As AntBee mentioned above, Reggie certainly could have met him as Peter Pan back before the curse. She did meet Hook before the curse when he was realm jumping. Maybe Bae/Peter popped into the EF or perhaps Reggie, along with Jefferson, went realm jumping to Neverland. Besides, we have Smee holding young Bae’s cloak and Rumple wearing it in NYC. Seems very likely that he is Bae/Peter/Neal.