Imho this is no issue, as long as the game is playable after download without some kind of server or account.

The moment you need an account or server to play you don't own the game. I think governments should step in here. They must force stores to use words like rent or lease instead of buy. That way it is way more clear where you are going to spend money on.

How do you purchase or download a game without a server or account?

I think they mean to say that it is fine as long as you no longer need a server or account once it is downloaded from their server.

You would be allowed to keep a backup, play the backup, transfer the backup, etc.

purchase /= run