Exactly. The headline isn't untrue, but it is misleading. Most people hear "Cloudflare is having issues" and assume Cloudflare as a whole, and this is not an unreasonable assumption.
Reductio ad absurdum can be used to demonstrate the logic flaw. Let's assume that one person using Dynamo DB got a 500 error response from a two successive API calls (so an error rate of ~4.0e-09). It would technically be true for the headline to say only "AWS is having issues." A headline like that is going to rocket to the top of HN, and it's not going to provide many people with useful information.
It's also silly. There's plenty of room in the headline to instead of "Cloudflare is having issues" to say "Cloudflare R2, Stream Live, and others are having issues."
And how do you know how many websites use R2 etc. so that you can jump to the conclusion that it’s not huge news?