Unlikely to care, realistically. I play multiplayer games with friends; I cannot think of the last time I wanted to play Gears of War 2, or Forza Motorsport 3, or any number of other games I've played with friends in the past that I own copies of.
I get the sentiment behind this, and I do think there should be a backend set up for private lobbies through P2P connection for when the inevitable occurs. But on the scale of things I'm worried about daily, weekly, monthly, or yearly, this doesn't register at all.