Regarding repeaters, as long as the device is capable of repeating, is paired to the hub, and is mains-powered, it should still repeat. It doesn’t care if it’s controlling a load of not.
The following more recent topic should be helpful for your other questions:
Usually, but we should also note that while code does allow this in most US jurisdictions, there are a few where you are required to have a switch that controls the fixture’s current directly. These are places where officials are concerned that people will turn off the switch, assume they’ve turned off the current, start removing a ceiling fixture, and electrocute themselves. So you should always check your local jurisdiction’s code before bypassing the switch
I think I’ve found the pertinent site, but I’ve got no clue where the key information is…when you have a few minutes, can you provide any pointers (key words) for me to find the right “code/requirement”?