Your OP isn’t quite clear to me. YouTube isn’t going to recommend anything unless YouTube is having problems. I’m not sure what it would mean with “feedback” in this context, either.
In general, though, it’s just that YouTube is set up with some basic troubleshooting help while NPR isn’t. YouTube, being larger, runs into these problems more often, and lacks the support staff to help for such simple situations.
Turning things off and back on is just a basic troubleshooting technique. You’re essentially telling your device to reload everything from scratch, so whatever mistake happened will hopefully not happen again. The problem is most likely in the memory–the place where the programs are active, rather than in storage.
I’m sure that, in the future, more apps will start noticing that you’re having problems and giving you basic steps on how to fix them. Google loves to innovate, and is thus trying something that most apps haven’t yet.