(The fact that browsers nowadays are usually expected to represent something "pixel-perfect" to everyone with similar devices is utterly against the original intention.)
Yet the original idea was (due to the state of technical possibilities) primarily about design and interactivity. The fact that we now have tools to extend this concept to core language and content processing is… huge.
It seems we're approaching the moment when our individual personal agent, when asked about a new page, will tell us:
Well, there's nothing new of interest for you, frankly:
All information presented there was present on pages visited recently.
-- or --
You've already learned everything mentioned there. (*)
Here's a brief summary: …
(Do you want to dig deeper, see the content verbatim, or anything else?)
Because its "browsing history" will also contain a notion of what we "know" from chats or what we had previously marked as "known".