Another Edit… Not one to be found in 3 stores… Ah well.
EDIT: Trying to get one in hand… the 2 Home Depot stores near me seem to have an e-comm to actual inventory issue… which does not surprise me.
I will have a Wyze switch in hand shortly and will validate the Wyze setup. My local HD has some in stock no harm in the 14 bucks to get this solved, even with some on the way direct from Wyze
Everything below IS NOT WYZE
A different brand I have all through my home is similar and it comes with a snap on plate, but I have used standard/decora covers on this brand all over including ones similar to the OPs concern/question.
The holes on that brand are also not threaded but will take the standard plate and “self-thread”.