Shaded pole come in three varieties, if it has a magnetised rotor it is synchronous, if it has an unmagnetised squirrel cage rotor it is an induction motor, and isn't synchronous. An induction motor relies on having some slip to generate current and hence magnetism in the squirrel cage, and so cannot be synchronous.
The third type have rotors which have both a squirrel cage and permanent magnets. The squirrel cage gets them going, but when close to full speed, the magnets take over and it becomes synchronous. Common low power shaded pole are likely to be pure induction, no need for running at exact speed.
Edited By duncan webster on 07/09/2023 13:01:25