We do not have wishlists in Paris. It works the normal way, similar to the U.S., where your SA knows what you like and what you might specifically be looking for, and will call you when it comes in. (There are other complications around the stores being crowded and all SAs having to deal with the demand from tourists, but that's not germane to this thread.)
FWIW, I have an SA in Nice I work with occasionally, and she works like Paris SAs, not on wishlist but just finding you what you want when possible. I don't really ask for bags because that seems silly when I have a home store a few hours away, but occasionally there is an offer. So not everyone in Nice works on wishlist.