Horses on highways would cause accidents. I have yet to see a fast-moving web page crash in to a slow-moving one and shut down the router. Analogies work better when there is connective tissue between the concepts in play.
More generally, the vast bulk of the problem is not human readability or interactivity over http, but more a matter of insane amounts of unnecessary gunk being included in web pages because of faulty assumptions about the width of pipes.
More generally, I find myself moving in the opposite direction. I find that many SaaS services' interests don't align with mine, so I'm going back to local applications. I don't trust others with most of my data, so the only service that sees much of it only sees encrypted blobs (for offsite backup). I've always run my own mail, and have slowly been expanding the services I host as I bring more of this stuff in-house. And so on. But I realize I'm in a minority.
But the nice thing is that it gives me an intranet and "other" grouping that is very straightforward, so that the browser instances that touch untrusted (not-mine) services can run in "bastion" VM, locked down nicely and reset to a pristine state at will, not to mention allowing some stupid networking tricks that are sometimes useful.