I couldn't disagree more. Ohio State is the most screwed by this.
The bottom line is that Ohio is not a hockey state and doesn't have a ton of local talent as a natural recruiting base. Not only will Ohio State always trail Michigan, Michigan State, Minnesota, and Wisconsin in that regard, but they will also trail Penn State. Pittsburgh and Philadelphia are legit hockey towns with longstanding fan bases. Can you say that for Columbus? You certainly can't say it for Cleveland or Cincinnati.
And no, this isn't an anti-Ohio rant by a Michigan fan. I have nephews in Columbus who played AA hockey. I know what the scene is like there. Even if kids touch hockey in the first place, a lot of the good ones leave when they get older because they're pushed towards "real" sports (in the local mind) like football or basketball.
The worst natural recruiting base means that Ohio State will likely be a perennial cellar dweller in the Big Ten. Sure, some kids might be willing to play hockey at Ohio State just to play in the Big Ten...just like some kids are willing to play football at Indiana just to play in the Big Ten. And the results will be the same: finishing mid-conference once every ten years will be an achievement. At least in the CCHA, Ohio State could expect to finish middle of the pack every year.
If you're from Michigan and want to play in the Big Ten and you're good enough, you're going to Michigan or Michigan State. If you're from Minnesota and want to play in the Big Ten and you're good enough, you're going to Minnesota or Wisconsin. Ohio State will get the leftovers, at best. It's as simple as that.
Yes, it will help them at the gate. More games against Big Ten teams with recognized names equals more casual fans in the seats equals more money. But Ohio State already has tons of money. More athletic money than any other school except Texas, as a matter of fact. If throwing money at a problem would make Ohio State better at hockey, they would have done it long ago. I'm sure that the athletic department is thrilled about being in a BTHC because they will have more revenue to offset expenses, but it won't make a beans of difference on the ice.