Invisibility by client

I would like it if we could set our invisibility by client. For example, I leave Steam open on my work computer all the time (since you can bind shortcuts to the controller. It makes debugging much easier), so I have it signed out of friends so people won't think I am online or something. I would like to do that with Discord. Just leave a tab open at work with the invisible status and be visible when I log in elsewhere. It currently looks like the invisible status is the same across clients.