Popular culture never cared about reading anyway, let alone reasoning on top of a strong literate culture. And those who have to reason through long chains of arguments will continue to do so, I believe. Therefore, I don't think the serious people will stop with long arguments/analysis/literature/etc.
Whether or not AI replaces the web, as long as people find the content they need, is that a bad thing? Why stick to the status quo if something better comes along?
As long as AI is not better, the web will live. When AI is better, it will not. And there is likely a long period of overlap before either of those end states occur.
> every ...
Let me stop you there hoss. "Every" is not a thing. We do not live in a homogeneous world at any level.
If I had to guess, the next "website" will be AI-driven avatars that you can talk with over text (chatbots), calling to speak with them (voice-enabled chatbots), by inviting them into your home (AR), or by visiting them in their "home" (VR).
I believe the era of documents (print or digital; brochures or websites) as the dominant form of information exchange is going to go away.
I'm not sure that's dystopian, though. Sounds kinda neat to me.