I have copied the validation link below for you to look through again…
IMO I don’t see anything wrong in thanking a WS for something they do that is helping the BS, < I do feel you can’t really detach whilst still under the same roof so this is all about “smart contact”, really difficult but being civil and happy and confident that you’re going to be happy irrelevant of the outcome. Don’t go chasing or following him around the house, don’t start R conversations, DON’T GET IN HIS FACE.
Tell yourself “he will come to me I will not approach him” < make this your mantra. Once he does this ^^^^^^^^ should kick in.
From what I’ve read NOT thanking breeds resentment which eventually can swell come to the surface and manifest into problems over time.