Depends on the type of motor and what "winterized" really means. For my outboard, winterized means that I changed the engine and lower unit oils, flushed the motor, greased the fittings, ran some fuel stabilizer, and changed the fuel/water separator. Maybe I also changed the impeller depending on the year. Per the manual, mine does not even need to be fogged.
So by that logic, I could go fire it up today and put it back in storage as long as I made sure to drain the water out. If I had any inkling that my lower unit was allowing water to seep in, I would change the lower unit oil again too.
So for my motor, there is no reason that it couldn't be serviced. Depending on what you have, it could be the same or different.