I believe that PIP, Stator and Hall Effect Sensor are all different names for the same part.
I better let someone with more experience answer about the autozone distributor. I have an MSD distributor in mine (94 GT 347 stroker). I suppose you could try rebuilding your new Autozone distributor with a different stator/PIP. Not sure when and at what cost it makes sense to just move to a different distributor. I do know this - if you buy a different distributor such as Mallory, Orielly, MSD, NAPA etc and it fixes the problem - Autozone will probably take the distributor back. They took the PIP they sold me back and returned my money when I told them that their part did not solve the problem but the one from NAPA did.
Best of luck