So if you look at NEC 404.14 et seq. (Rating and Use of Switches), it essentially dictates that the switch must be used within its load specifications. So as long as your load does not exceed the Inovelli load specifications, you are compliant with this section. So it’s not a question of if you are on a 15A or 20A circuit, it’s a question of is what you are controlling within the specifications of the switch.
I’d look at this as an Inovelli without a load is not a switch, it’s an end device. So 404.15 may not even apply. But if it does, no load is certainly within the switch’s load specifications.
Your local AHJ may differ, so you should also review their code.