1.The anime and manga use the same kanji, whether it's college or university is purely a translation preference as they both mean the same thing in Japanese. My edit note was referring to the fact you put "high school funds" when it's for Josuke's college/university tuition, not high school.
2. My issue with using "Morioh Warriors," especially when capitalized like a proper noun, is it comes across as an official term when it's not. That's just misleading information, regardless of whether or not a youtuber uses it. I don't nessearily mind using the term "warriors", but we should be phrasing it like, "Morioh's warriors" or "the warriors of Morioh."