The problem that arises from this is , if you have an impartial general manager, what exactly changes from what we have now? Matches are currently based on storylines, so what do you really gain from an impartial general manager?
With an impartial General Manager who only appears on camera for certain points, you gain the following:
1)Authority being recognized without it being in your face week in and week out
2)No siding with one group or another
3)Whenever the GM appears, it's for something very important...not to stroke his/her own ego, thus possibly making you look FORWARD to him/her coming out.