What? Those are pieces of functionality that some users actively want. The experience of having to hunt for Yelp in Safari sucks vs. having it as an icon. Being able to get push notifications is effectively the only thing messaging apps even do! If these features weren't important then why do they even exist?! The irony is that Apple knows if they provided push notifications to mobile websites then suddenly their catalog of apps would have a lot less value as people would be much more willing to just make websites.
Like seriously; compare your comment to this person: https://news.ycombinator.com/item?id=27348626 . You just so happen to be weird: that's all.