The issue is getting people to click on your website, why would any one do that if the entire content is already extracted by the ai, which directly gave it to the user?
People who just want a basic factual answer to a question won't go to your site, they'll use Google's snippet as they already do now in many cases.
But people who want to read your whole article will continue to go to your site.
This seems entirely reasonable to me. I shouldn't have to visit a webpage to discover when Abraham Lincoln was born, but I should if I want to read a short bio of him.