PS4 11.00 Jailbreak – Will my offline games get locked?

I bought a PSN account from someone, downloaded the games, activated the licenses on my PS4, and have been playing them offline for about 2 years.

Now I want to jailbreak my PS4 (11.00). If I connect to the internet during the jailbreak setup, could those games become locked since they're not actually owned by my account?

Also, would using a Sony-server-blocking DNS prevent a license check?

What’s the safest way to handle this?