I think there should be a option where we can choose if we want others to see our active/deactivate/market inventory or not.
I think its okay the way it is right now but when I looked at someones active inventory I could see there texture's. If you could turn/edit who is allowed to look into your inventory it would prevent some players from stealing other players textures.

I don't think blocking texture stealing would work with this idea but it's still a nice idea.
Though this might be seen as a chance by scammers to market with items they don't have.
Other than that, I like the idea of being able to hide it.