If including button.h ends including nuclearpowerplant.h it's because it's a dependency, so with the article method you will end up including nuclearpowerplant too, otherwise it won't compile.

Of course this assumes that headers only include what they really need. If a header includes something it shouldn't (maybe an old dependency that was forgotten) the issue is old dependencies, and the fix is to remove it from the header once. With the article method you will need to remove it from every file that includes button (except maybe it is also used by another dependency and compile will fail).

Edit: I've realized the problem. If A includes B because it requires it, and C requires A and B, C will probably only include A and it will compile. Later if A is refactored and no longer requires B, removing it will break C. The solution is to always include what you use, even if it it's already included as dependency, as explained by another comment.