Institutions of higher education have a stated purpose and usually a vision and scope that is plain and easy to read in their charter.
The actual name of the institution does not always indicate what they were or are today.
Pitt, Syracuse, Miami, Louisville, Houston, Cincy, BC, Memphis, Dayton, Boston U, Wake Forest, Trinity (Duke), all have an original city in their name, but they are not same type of institutions and none of them were founded as "Universities". They evolve into a University.
Normal Schools and Teachers Colleges do the same - they evolve like App State and ECU.
Where you a "real" university in 1900?. How about at the end of WWI? How about the end of WWII? How about during the Cold War?
Let's look at UNC-CH
Here is what UNC says about themselves:
https://museum.unc.edu/exhibits/show/res...le--1856-:
Francis Preston Venable, professor of chemistry and president from 1900 to 1914, began transforming the University of North Carolina from a college to a true university. The first faculty member to hold a Ph.D., he insisted on sound scholarship and the rigorous training of students. As university president, he oversaw a significant expansion of the student body, the faculty, and the physical campus, and he created an administration designed to manage a growing institution.
UNC becomes a university due to Union Carbide and Flagler's real estate development empire. As a true "University" UNC is about 125 years old. The Duke Endowment made Trinity College a University in the very early 20th Century.
You aren't just playing football with arrogant snots - you are playing with and against entities that became Universities in time to profit off the Gilded Age, WWI, WWII, and early stages of the Cold War.
This is what really makes you and FSU, Houston, Ok State and a few others "relatively" young compared to the rest of the P-5.
UCF and USF by comparison are "toddlers".