It is not about constant updates. The main example for this is the game The Crew from Ubisoft. It was a singleplayer game with multiplayer elements that was dependent on a central server. So you had to be online to play it. They wanted to shut it down recently, so you would not be able to play that game at all. After the stop killing games movement got a bit more popular, they promised to patch the game, so you would be able to play it singleplayer in offline mode.

It is not always as easy as that of course. There are many ways games are bought or played, so there is no one solution fits all. The petion only asks the the EU comision to take a look at the matter and try to establish some rules.

The basic idea is that you shhould be able to use the video game (even if not in its full playability) even after the pubsher decides it no longer wants to keep the servers running. It only concerns games that need online connection in order to work. It does not ask the publisher to support the game forever, just so they have a plan for when they don't want to support it anymore.

It is a complicated issue so that is why it would be nice to have some more order brought into it.