For example email - the other big "internet-user" is technically not part of the WWW, but most (? I don't have any stats, just a guess) of our mailclients run on the WWW, nonetheless.
I'm not sure what the native clients for Netflix and Spotify actually run, but I use their WWW clients mostly. Making most of my internet bits&bytes go over the WWW.
There are roads (or shall I say tubes?). There are cars and busses on the road. Over time, almost everyone has migrated to just a few bus companies. One of them suffers a complete collapse for a few hours. Yes, this means chaos when it comes to transporting people. But the roads are just fine.
This doesn't mean that the situation is fine and that people aren't affected. But it would be entirely different if the roads had been washed away or something.