UC suffers from years of being a city-funded school as well as long being a commuter college. They became state funded in the 70s I believe and they've done a great deal to try and lessen the later.
In their defense, they were a pioneer in co-op education for their engineering, business and architecture programs. I don't know where they stand today, but the med school was once second only to Case - Western in the state of Ohio and still lays claim to the creation of the Sabin oral polio vaccine and the Heimlach manuver.
For a significant period of time their engineering, architecture and music programs were ranked well ahead of TOSU. Design, Art, Architecture Program -- DAAP -- is till one of the best in the nation and very difficult to get into. CCM, Cincinnati Conservatory of Music, home of James Levine, long time conductor of the Metropolitan Opera. I believe the late Eric Kunzel, conductor of the Boston and National Pops Orchestras is a grad also.
On the negative side, the school has a history of nepotism, hiring faculty from their own doctoral programs - a real no-no in academic circles. This very practice caused them to fail a Northwest Evaluation in the mid-70s. Until all the home grown tenured profs are gone the stigma will continue to be attached.