To me it seems either ...
A) Google will do a good job of this, people will find their summaries more useful, and the web will evolve into a more closed system that better serves its users
or ...
B) They're gated AI community will suck, and people will start using a different search engine that better serves its users.
My money isn't on A), but they do have a lot of clout so I wouldn't rule it out.
Unfortunately A seems inevitable to me but leads to lots of bad things down the road. However I don't see how individual sites can hope to compete on this. LLMs quickly and efficiently deliver relevant information in a lightweight easy to consume textual format. For example they've almost completely replaced getting recipes from websites for me because they provide a comprehensive overview while omitting all the extraneous nonsense. They're just plain better for most of my usecases in practice.
A) has plenty of dystopian followups.