727 Tailshaft bushing

If it is installed correctly and not cocked or damaged it should not. The same goes for your 4 speed. My guess is they messed up the new bushing.

Clean everything well, polish out any blemishes or high spots, freeze the bushing and warm the tail housing, put a little lube on bushing and bore, be sure it is aligned properly and use a good press and properly sized pressing plug to put it in.