The internet was mostly over in 2001. Of all the parts we really only kept the web, and even that is just a shell for ads now.
Multiplayer gaming is most.definitely not web, and it's quite popular.
None of the above is esoteric; it's used by tens of millions to billions of people.
Of course the browser has eaten a lot, but there are still large pockets if the internet where it's not really adequate.