I still think you're missing the point. The point was someone would be going about their normal day, and intermittently receive notifications of a disturbing event from the phone in their pocket. A webpage breaks this, as users have to seek out the information.

Again, this app is more a creative endeavor than a tool. The author is thinking of ways to make people more aware of something, forcing them to think about it during their day, not trying to give them raw information. (Granted, one must still decide they want to be forced to think about this during their day, as they have to install the app and allow push notifications.)

I'm also not making any judgements on Apple or the app itself. I'm just trying to explain what I think the creators' intentions are, and why a webpage is not suited for those intentions.