If the AppStore was shut down tomorrow, and all my apps forcibly removed: I'd keep using my iPhone with Safari. Might even become a better experience.

I'd need to save some short cuts for things like Google Maps, my banks, etc but that seems like all of the hassle.

I might miss the notifications (exclusively for the messaging apps - for all other apps I don't want them to have notifications) but otherwise, the biggest annoyance would be on the airplane I wouldn't have some pre-downloaded streaming content from apps like Netflix and Youtube.