It's an interesting thought experiment to consider how much of 'the internet' would still find a way to communicate with each other and fix the problem if somebody waved a magic wand and all http and https servers and clients magically disappeared worldwide instantly.

For instance some of the folks who run core BGP at medium to large sized ISPs would revert back to a few legacy IRC channels and find each other to chat and figure out WTF is going on.

"the internet" would still exist, a subset of the application layer stuff that runs on top it wouldn't...