That's how I see it. MOCP is a term used when a SINGLE UNIT has multiple load devices inside of it, where the manufacturer calculates the value of the largest OCP device you can use. If you have single devices, each will just have a FLA or FLC or maybe a maximum wattage rating, not an MOCP.
So yes, it comes back to the earlier point raised; can you plug in 2 x 100W lamps to a 20A receptacle? Of course you can! The OCPD is there to protect the conductors, not the load device. It's incumbent on the device mfr to determine if the load device's internal wiring needs lower levels of protection or the inherent dangers of any failure mode, which is part of their UL listing process.