It would be interesting to know just how many of those 20M in NYS actually give a rats arse about Syracuse? Is it 5M or even close to that figure for that matter? It's considerably doubtful. Syracuse University, with its relatively small private status, has the bulk/masses of its state residents, etc. attending SUNY schools or others. Additionally, because of same (small private) and not being a Flagship type as is Clemson or USC, etc., there isn't a state wide identity, loyality, etc. with SU as the aforementioned. Or, other states with similar type Flagship institutions that pique the interest of so many more of its citizens from a much more broadly/statewide standpoint, not to mention possessing the best interests, etc. of its state elected officials, etc.
Syracuse is unique in that the university bears the name of the city it resides in. And, because of same, its local/nearby residents, etc. that don't otherwise have any personal ties, connections, etc. to the school, clearly helps its generalized following considering it being the only game in town player of such. That being said, it still pales in comparison to the fevering statewide following/interest that the state/Flagship schools innately have.