Hacker News is usable on mobile Safari, but it's not as good as it could be. Try using Alien Blue to browse reddit on an iPhone (and especially an iPad). It is a superior experience to using the plain web site (even m.reddit.com). I very much wish there was an equivalent for Hacker News.
Which is ironic because Web bookmarks/caches are one class of apps that are explicitly banned from the Apple app store, because the web bookmark feature exists. That's why my game, cross platform on ios, android, and web, is not published on App Store. So iOS users can't play my game on an airplane.
Where does it say that web apps are banned from the app store? Apple (unfortunately) does seem to allow apps that are just WebView wrappers. Of course, they aren't very popular though.
Also, if you set up local caching properly, your game should be fully available in offline mode as well, if the user saves your site to their home screen.
Every time I see an "Ask HN: what app do you use for HN?" I wonder why people don't just use the browser. What is the allure?