Univ name changes: I have no doubt some schools could change their names to something that sounds better. As you know, even mascots are under scrutiny.
Names of state universities and colleges are not governed everywhere by one master university nor necessarily, per state, under the auspices of one governing body.
For example, in Pennsylvania, the Pennsylvania State University, is state-related, not state owned and operated. It is technically private with Commonwealth representation on their Board of Trustees. Yes, they do receive huge subsidy from the Commonwealth and have a network of branch campuses. Other state-related universities in Pennsylvania are Temple, Pittsburgh, and Lincoln, historically and predominantly an African-American institution.
In the 1980s, the 14 owned and operated state colleges and university in Pennsylvania moved from being operated by the Pennsylvania Department of Education, and a separate State agency was created: The Pennsylvania State System of Higher Education. Penn State is NOT a part of that organization.
The State Universities in Pennsylvania are as follows: Bloomsburg, Kutztown, Lock Haven, Mansfield, Indiana University of PA, California Univ. of PA, Edinboro, West Chester, Clarion, Millersville, E. Stroudsburg, Shippensburg, Slippery Rock, and Cheney (historically African American). Athletically, these schools are Div. II, organized into the Pennsylvania Athletic Conference, and may have a men's sport and women's sport, per campus, playing one sport up one division, and playing one sport down one division. For example, one campus plays Div. 1 men's wrestling, but plays Div. III women's field hockey.
Appropriations to State-related campuses and those that are state owned are separately made. Pennsylvania also has historically subsidized private higher education in the Commonwealth as well.
In Georgia, there is the University System of Georgia. There is one governing body; however, a campus such as Georgia Southern is not a branch unit of the University of Georgia. It is one distinct campus. Similar comparisons can be made in Mississippi and host of other states.
Names suggest organizational, governing, and political structures. It is not logical to identify a campus the University of (state) at (city) if organizationally such is governmentally incorrect.
What I'm trying to say about PA is that PSSHE should acquire PSU.