You can see hints of this when the probably-mostly-White posters in these forums automatically mention colleges like UAH for students looking for scholarships, but not AAMU, which has better scholarships. It may be due to the posters seeing a HWCU as more of a fit for themselves than a HBCU, even though it is not necessarily obvious that it both matters and aligns the same way for the students.
Of course, as others in this thread have mentioned, a student severely constrained by money limits typically has very little choice about any fit factors besides affordability and the academic programs the student wants to study.