That's pretty cool. This could work in mobile but Apple's review process kills it there and the monitoring part is hard. App stores, though, make this possible. I wish Apple would allow a post-review oath for trusted developers, those who have established a track record of successful releases.
If a mobile app wanted to be updated every single week, I would get annoyed at some point. The point is that web applications can do this in a seamless manner.
There's no technical reason why that should be so. Google Chrome doesn't make you click a button to update it, or even tell you that it has updated. It just does it.