My guess would be no. I think this is effectively a "log in to play this game again" check that will happen if you are disconnected from the service for a month, basically.

Honestly, I would prefer they adopt a game-key-card approach if this is really the direction they're going to take. At least a physical key would make more sense than a digital key that needs constant online connection for validity.

The claims in this post say it effects games moving forward, no games bought previously. And that the game isn't uninstalled or anything of the sort, it means if you haven't connected to the Internet in 30 days you would have to connect to open the game. (Not sure what the reasoning would be, maybe they are trying to ensure people do updates, not sure). Someone else claimed above that it is fake all together, but I haven't verified it.

The real issue here for most people to me would be if a game is eventually removed from their network and whether or not they remove the check in requirement if the digital game is removed. (Aka would the game be lost forever because Sony stopped hosting it, even if you had a copy on an external drive).

no just until you connect to the internet again

Jokes on them, all my PS4 games a FPKG. It'll never go online.