I would suggest that instead of showing it to everyone all the time, you allow each player to toggle it on and off as they desire. Presumably it would be toggled off by default.
Also, if you're checking is_user_alive() you don't need to also check is_user_connected() as is_user_alive() only returns true if they are connected.
Added to plugin. Although I have decided to have it defaulted to on. It's pretty transparent and I don't think it would annoy people.