Author here, happy for any feedback. I'll own up to misleading-and-possibly-clickbait title, I just gave up trying to think of anything better without revealing the conclusion.
I admit that I'm not a C++ expert, but naively I would never have expected clang-format to have any effect on my code. If you stopped and suggested header re-ordering to me my first thought would have been "I guess it must not do that. Maybe in practice header re-ordering doesn't actually matter with reasonable code?".
The title here doesn't describe the contents of the article, but it describes a very important consequence of it that C++ programmers should be aware of. It gives a specific example of the consequence. I'm ok with that.