I'll take this a step beyond. It is my opinion, based on the scope statement of the NEC, that the NEC stops at the outlet. Nothing that you plug into a receptacle is within the scope of the NEC.
That being said, there should be a restriction on the use of flexible power cords in any application where they remain plugged in without attention. I have removed a lot of equipment that had a power connection cord, where the cord jacket and conductor insulation had failed over time. If you try to more the power cord the jacket and conductor insulation just falls off. In many cases these cords were not installed above a ceiling, but in the open, but no one ever looks at the cords when they use the equipment, unless the equipment stops working. Maybe the UL standards should be revised to require the use of hardwired connection methods for any type of equipment that would not normally be unplugged when the equipment is not in use.