One option whether it's a PSC motor or a shaded pole motor is to reverse the stator, and deal with any wire routing issues that arise. However, in the case of the motor I had, it's been designed to make reversing it impossible - perhaps so that the people used to assemble it can't get it wrong.
Mind you, I'd have thought connecting the multiple stator wires to their leads would be the biggest source of error.
Sylvia.