Do electric RV steps work off of shore power if plugged in?

Snow man is correct about the failure to lube the steps being a major cause of problems. The step motors, however, are window lift motors used in Ford Products. A&M Industries made the motors for awhile but Lippert has changed the motors again.
the A&M motors have a phenolic gear housing all the Ford motors have an aluminum gear housing.

I think how they are wired depends on the RV manufacturer.