You could run it in something like Wiremold just for neatness and to keep it from getting tripped on. It would also help to keep it from getting unplugged accidently. I'd put a good quality receptacle there with decent retention force to make sure that it doesn't fall out or come loose when the rider is halfway between floors.
Probably make some notation on the OCP feeding it that it should stay turned on for the same reason.
