"I'd say, if it's kind of dumb for a PC to be a Jedi ghost"
I see much sense in it. Imagine..
A jedi master gets captured and killed and becomes a ghost until he looses all remaining FS points. As a ghost, he showes up near locations of certain players (types their names and shows up near them), getting to know their hiding locations. Then he showes up near his favourite padawan, telling him locations of enemies, and training his student at much quickier learning time than normal. (advices from ghost were common in canon SW) He even can teach his padawan to become one with the force, when his student is near to death one day. (canon again) He can even see when enemies type in codes on lvl 3 locks in their bases, give that information to his padawan and vanish for ever.
"You are only as rich as the enrichment you bring to the world around you."