I think it would make sense if Neal was a Lost Boy because he became an orphan as soon as he was sucked into the portal.
I’m hoping if Peter Pan shows up later, he is neither Bae or Hook but someone else entirely different.
I would love this as well. It would be great if all of the characteristics of Peter Pan rubbed off or influenced Neal/Bae maybe saving him from being a pirate (well that is my theory)