You don’t own your games on any platform anymore unless you are buying physical console games. It’s more a question of do you trust the store.

I trust steam to continue existing and providing access for a very long time. I do not expect that stadia will still exist in 10 years. If the service ends up failing, they aren’t going to have gaming hardware sitting around for you to use it.

Personally, I don't as I struggle to remember the last time I replayed a game but I can understand how some people would be put off by this.

I very rarely replay any games I buy so frankly no it doesn't matter much to me.