That is not the stated purpose of the tool (to write code in the aforementioned style):
"Include what you use" means this: for every symbol (type,
function variable, or macro) that you use in foo.cc, either
foo.cc or foo.h should #include a .h file that exports the
declaration of that symbol.
I agree 100% with that statement. According to the style, foo.h can never #include anything.