FWIW, promises can easily be polyfilled. The rest, not so much.
If you replace Polymer with React, you can actually live in a world that's not so dissimilar from what the author is advocating. Of course then you're still using libraries, but arguing against libraries (as opposed to frameworks) is insane.
* Object.observe
* Promises
* HTML Templates
Sorry but IE8 support. Nuff said.