Bad Pilot Bushing Symptoms?

No
You get a ball-bearing assembly that fits on the input gear where the bushing would normally go; and the OD fits in the recess on the crank where the Convertor hub would normally go.
If your regular pilot-bushing is damaged, I would either pull it out or ream it. but
if not, I left mine in there 25 years ago, and it hasn't made any trouble.

Ok wait, if you're talking "auto-crank " bushing, then No.
But if "auto-crank" ball-bearing, then yes, lol, as above.