Reader view, tools for the visually impaired, and browser automation are actually useful and commonly used, so that definition win the title for me.
There are certainly useful distributed web tools (e.g. email, TOR, IRC, Matrix, self-hosting, bittorrent), but they're the opposite of recent trends towards monopoly.
The distributed meaning is absolutely poisoned by blockchain at this point.
Like, if we compare this to RESTful servers, there's no set definition but nearly everyone agrees it's verbs and paths over a hierarchical API sending JSON back and forth over HTTP[S].
It seems like most people can't agree on anything except using etherium as a backbone.
So calling something web3 doesn't seem to do a good job describing things like REST or like something like you wrote above.
It's not a technical spec.