Is it reasonable that the conditions for the selection of national scholarships for graduate students require that the patentee of a patent must belong to a school?

If it must be owned by the school, it is illegal. Students can have what they create independently.

But now it is the evaluation of scholarship conditions, which means that students can have their own, but they will not give you a scholarship.

This seems to make sense. There is no need to give you a scholarship if your own patent has nothing to do with the school.