Bubbles, On my FR3, same year and model as the OP, if the door is open, the stairs go out / stay out regardless of the ignition switch or the setting of the factory door hold switch. Door open is the highest priority. So if the door switch is faulty or the proximity magnet is missing, the stairs will stay out. Not retracting with the ignition switch is not an absolute that the fuse is blown. Very good chance but not absolute. This is why I asked about the light (which in hindsight will timeout after the door is opened for a while negating it giving valuable information!). Time to take a meter to the connector.
I've wired my stairs so that I can force the stairs to stay in (for example when up against a curbstone). I did this by placing a switch in parallel with the door switch to make the system THINK the door's closed.