A small change in the "Game Activity"

I recently became a moderator for a programming school server and on accepting the position I had to assign the status Game activity. Yes, I know it's a pretty stupid rule, but I can't do anything.
It made me wonder how interesting it would be if in the game activity tab a function to limit who can see my current activity. For example: Show the game activity only for my friends list or do not show game activity on servers...
I believe that this function would be very welcome if it were added to Discord xD