While playing a game you know someone is there because they are making moves, when the game is over it would be nice to know if they still have the window up, so could still be looking at the screen, in which case you could type something and they would see it.
The way it is now you just assume they left because they probably did, so bothering typing something that most likely wont be seen is annoying. Like a lit icon or color bar around window telling you it’s active on the other end.
I like this because it could create more interaction between players, even a discussion over the game you just played.
No idea if this is where it should go, thx if you made it this far.