I don't know how it could have noise on a hall effect cam sync, but if it's moving around that much it kinda has to. Maybe double check that the inductive cam input is grounded.
To test if the cam sync is a problem, just switch it to bank to bank and see if that helps, it will ignore the cam sync.
To test if the cam sync is a problem, just switch it to bank to bank and see if that helps, it will ignore the cam sync.