That's only if they design the distribution system such that it relies on the existence of the servers. If I start up Age of Empires 2 (assume in a computer or older VM such that compatibility isn't an issue), I can start a multiplayer game through LAN without any issue. If I start up a game of Overwatch, I cannot play against somebody in the same room without connecting through Blizzard's servers.
It is perfectly reasonable for a company to be liable for refunds if they want to deliberately take products or features away from users. In order for a company to avoid this liability, they must provide a way for those features to still be available to users, even if the company no longer supports the product.
This is pretty easy and straightforward to legislate. A media company that provides distribution of individual works (like Steam or Apple, as opposed to subscription services like Netflix), must provide a method for users to easily and automatically back up all purchased content. A company that runs servers necessary to the use of a program (e.g. matchmaking servers for video games) must provide the server executable, in a form that can run on currently-available commodity hardware, and must allow the client to select a privately-owned software. Companies that don't meet these requirements would still hold full liability for refunds if they remove product features later on.
It is perfectly reasonable for a company to be liable for refunds if they want to deliberately take products or features away from users. In order for a company to avoid this liability, they must provide a way for those features to still be available to users, even if the company no longer supports the product.
This is pretty easy and straightforward to legislate. A media company that provides distribution of individual works (like Steam or Apple, as opposed to subscription services like Netflix), must provide a method for users to easily and automatically back up all purchased content. A company that runs servers necessary to the use of a program (e.g. matchmaking servers for video games) must provide the server executable, in a form that can run on currently-available commodity hardware, and must allow the client to select a privately-owned software. Companies that don't meet these requirements would still hold full liability for refunds if they remove product features later on.