Sure, it's nice and convenient if you're using an evergreen browser which is constantly getting updates from the mothership, but what is the rest supposed to do? How are we supposed to use this in Curl, or in whatever HTTP library your custom application code is using? How about email clients? Heck, is it even possible with embedded devices?
"The internet" is a hell of a lot bigger than "some website in Google Chrome", and we should be careful to not make all those other use cases impossible.