The stator is behind the recoil there will be some electrical plugs coming out of the case to tes read this. PXYLE gave a good example:
I have seen the wire from the DESS post, the Black/Green one, have a bad connection and cause the exact same problem, also seen bad DESS posts do that.
No need to pull the stator as you can check continuity while in the sled: check each yellow to the other yellows and you should have about 0.7 ohms ( 3 tests ) and check each yellow wire to the engine ( ground ) and you should have no continuity. If when you test from the yellows to ground and you have continuity, then you need a new stator.
Also have seen bad MPEMs do that. If you have a friend with the same year of sled, try swapping MPEMs and keys at the same time, then try DESS posts.
Just my .02....