PS5: Game/Console Share Question

Hi Everyone, I had a question about game share. As I understand, you can download games from the person who's console your sharing and continue that download on your own account to play it.

A few questions:

A) does this mean the person who allows me to console share cannot play games offline anymore without an internet connection? Is this with all their games or just the ones I download under this console sharing feature?

B) If the console sharing gets disabled, can I still play the games I downloaded via this console sharing feature (I assume no).

Thanks for your help.