Syracuse > Ohio State but it's close... and I'm obviously biased.
I didn't read, so I don't know what was weighted more heavily for the rankings. History is pretty much a wash. Our success dates back to around the 1920's and they were a power in the 40's. Breaking it down decade by decade, we would probably come up even, with OSU getting honors around the middle of the century and us taking control in the latter part of the century. Very recent history is neck-and-neck for sure.
I would like to think we have the recruiting edge but I'm ignorant of Ohio State's recruiting. We probably bring in more revenue but I doubt it's significantly more and both coaches are are at the top of their profession.
The only point I can undoubtedly give to us is for the fanbase. No way Ohio State basketball has the fanbase we have. That's like comparing Ohio State's football fanbase to Syracuse's.