Imagine going to a car dealer, the entire transaction, the word "rent" or "lease" are never used. And you have to sign a 30 page agreement where hidden on page 18 there's a clause saying you're purchasing a license to use the car and it can be revoked at any time.
6 years later, the manufacturer decides they want to shut down the factories producing replacement parts, and won't license anyone else to make them, so they push an update out and now your car won't start anymore despite functioning just fine.
The entirety of this debate is whether companies should be allowed to treat game sales that way. Most people don't see buying a game like an artist licensing their song to a TV show. They see it like buying a toy.