I think neutral Jedi (or Sith for that matter) is a bit of a misnomer. Neutral Force Sensitive/Adept, or something of that ilk perhaps. The term Jedi gets bandied about a bit too much as a catchall term for Force users. Like "Dark Jedi" for instance. That makes no sense - the two are mutually exclusive. That's like saying someone is a Jewish Catholic or something.
In the context of the game, it makes even less sense, given the nature of the underlying mechanics, as I alluded to in my comment to the post on starwarsmmo.net.