Yeah, usually they have relays and limit switches. The factory control switch is low amp. Usually a door contact, and a hand/off/auto switch inside. Usually a maintained contact.It would be the same as using a pair of push-buttons, one for up and one for down.
If you're not switching the motor current directly, there must already be relays in the unit.
Is all you need, electrically speaking, a center-off, momentary-contact rocker switch?
Did the steps come with a wiring diagram? If so, can you post a picture of it?