So, you build a housing for small appliances, install a branch circuit and receptacles to plug these small appliances into, and you can not call it a small-appliance branch circuit. Why?
Other than what you may or may not be allowed to call it, what is the physical, electrical, or any other difference between this circuit and the other, genuine SABCs? In name only?
I have no problem with saying that they do not qualify as serving the counter-top, only with saying that only counter-top receptacles can be on SABCs. Wall receptacles can be on them.