Even if the could, that is. I can see gaming companies investing in visuals like this to enhance their game's web pages, or even delegate parts of the game's UI to a browser. Battlefield 3 (and probably 4) does this for its server browser, removing the need for a large chunk of UI from its game, and removing the need to update the whole game in a patch if they want to make changes to their server browser. No fancy 3D effects or animations in there though. At least, not yet. iirc, they've outsourced development of that server browser to a third party.
HTML was originally a document, but today we've stretched it to do so much. And that's great! There's no need to draw a line around fancy webgl stuff. Your whole page can twist and flow and sparkle and whatever. You can make styling prettier sure but also make you content deeper. It will take time work out the kinks but hey, it's an adventure! That's pretty cool! Boring is never good. And there will be those with poor taste no matter the medium. This isn't a fad and it isn't superficial. This can totally change our experience on the web. Why wouldn't you want to take advantage of such cool stuff?