Given that Discord has been able to do this for a long time it makes no sense shouting about it now. Discord knows what you're playing hence why it displays it by your name it's been this way for ages unless it's a stand alone or Windows title.
Love discord it's come such a long way, the setup is painless and tweaking it on the fly is a doddle. Bots a easy enough once you get your head around the coding and docking (thanks SuB) it's worlds apart from the days of Teamspeak and Mumble.