I grew up Nazarene, I have a cousin on the board of trustees at Trevecca and all of my extended family except for some random Baptists are Nazarenes. I think every member of my family on both sides for the last 60 years has gone to a Nazarene college at least to start his or her higher education. Every few months I call one of them and ask "who are you and what the heck have you done with the Church of the Nazarene?"
For a long time, for me, the Church of the Nazarene had been like PBS is for most people, I had no use for it but it was a comfort to know it was there.
Trevecca's a "University" now, as are all 11 or so of the old Nazarene colleges. They are not strictly speaking "Bible colleges" and haven't been for a long time. I remember the first time I ever saw a man wearing an earring... he was a professor at a Nazarene college, and that was 25 years ago.
You’re correct, it’s actually Trevecca Nazarene University.
In reality, just a small fraction of the student body are ‘ministry’ majors (our son is one of those)...