You sold the key? Na-ah.. that stuff is all mine! (I think I was a pirate in a former life)
I usually keep everything like that, but I'm trying a character who isn't motivated by coin. She does little to no looting at all. It's an interesting change. That makes Solstheim a little challenging to play for her, there are limited "fetch" quests where I can feel like she's helping people.
You know I've never played that way, I'm always either hoarding treasure or hoarding money and if I see something valuable I always steal it no matter what my build is, so maybe I'll play a character who is like this.