Chareidi is both Ashkenaz and Sefard.
Look at it this way: All universally acknowledged Gedolei Yisroel, that are accepted throughout the world as Gedolei Yisroel, are Chareidi. Even the non-Chareidim accept them as Gedolei Yisroel because it is blatantly obvious and indisputable. I can’t think of any non-Chareidim, especially ones who never in their lives had identified with some affiliation with the Chareidi world, who were accepted as Gedolei Yisroel throughout Klal Yisroel.
Both contemporary and historical.