Yeah, I think “relief” is more befitting of something you provide after an accident, emergency or natural disaster, and I don’t think that fits as well with a Home Brand.
“Relieved” is a bit more on the mark, but I am not sure if that is going to be a great fit or not just yet.
S Gallerie makes me think of art instead of home wares as well.
Relieved Home may be a potential name, but I don’t know if that is the right connotation or not. Seems a bit off point, but it could be used in a humorous way. As in, your house is “relieved” that you don’t have crappy decor and furniture and that you are taking care of it.
In that case you are coming from the perspective of a fictional house character though. Might be tough to convey that concept unless you go pretty strong on the idea.