Which homescreen integration would that be? With the exception of having the chrome (URL bar) hidden by default, Android can add webpages to the homescreen and treat the tile like a native app, already.

It isn't so much that we should be able to run it in our browser, it is that the author is intentionally looking for iOS, with the site added to your homescreen. Had the title been "HTML5 Homescreen App for iOS" I think people's expectations would be different.