We still have vestiges of the 'old web' in forums, IRC (yes, people still use it) and chat apps, where the most recent items appear at the bottom.
A common complaint about the web is that it is still discussed and used in physical terms such as pages. We haven't achieved peak web functionality because we are still firmly rooted in the real world equivalent. Maybe it's a generational thing and we'll only get past it when the old guard are no longer around.
For my own part, I can't readily conceive of alternatives without flights of futuristic fancy into visual and spatial computing, significant advances in AR & VR, and neural interfaces that are probably decades away.
Trying to reimagine text based presentation for the web only succeeds in returning to variations on the status quo because that makes sense to my pre-internet, analogue mind. It's like deciding whether to organise a card based system from front-to-back or back-to-front when you really need a complete shake up that puts the Dewey Decimal System to shame.
But there I go with another physical analogy.
Still, unless the way we learn, entertain ourselves and communicate changes significantly, the notion of pages and 'top-down' presentations will continue to make sense. It's how we fiddle round the edges that might lead us in (slightly) new directions.
Pedantry moment: IRC isn't Web-based. ;-)
I don't think the fascination with "pages" is an "old guard" thing so much as it is a consequence of URLs. URLs are great and I'm yet to see anything to rival them in the Internet space, but they do necessarily force you into thinking: this resource is in this place, that resource is in that place. Where those resources in turn have links to other places, we call them pages and we usually write them in HTML. To replace pages but retain universal addressibility, an alternative non-HTML implementation would need to also provide for some means of navigation. Eg Gemini has hyperlinks too (still very "page" based). Ditto PDF (yup, still page-based).
When people come up with alternatives, they always seem inferior in some way or another. Some systems (Compuserve, AOL, BBSes etc) have used keywords for navigation, but these are limited by the directory owner and they'd biases. Others have used spatial metaphors eg Second Life and metaverse experiments, but these often fail at making meaningful address systems so you can't eg bookmark a "place" and share the link on an established Web PAGE (fun fact, VRML didn't suffer so much from this problem... but sorta failed anyway - maybe people just don't like interfaces that aren't page-like?).
And of course, "pages" provide some of the best options for accessibility. If we can't bring everybody with us, I'm not interested in moving to a 'new' Web!