I really don’t know enough about HID to answer intelligently, but I think proxkey are just fob versions of proxcards… so proxkey II should work, proxkey III - not sure…
When it comes to cloners and cheap electronics from China, it’s impossible to know what you’re getting unless you work directly with the factory (as we have). It’s possible the cloner you bought doesn’t even support any HID card at all. We had to work with the factory to ensure we had custom firmware on our cloners that handles both EM and HID cards.