Well, yeah, they did.
Knowing you're a Buckeye guy, and that they are generally considered the 2nd/3rd best team in CFB this season, they were in several situations, late in the season, where 1 play gives them an L. Loss to PSU, 4 points over Northwestern, 1 point over MSU and OT vs Michigan. The 2nd/3rd best team should have never been in position to lose to NW or MSU. Yet they were. That's also why the Clemson loss was so ugly. They couldn't pick up one yard on two plays to put the game away. And they should have lost to NC State. So you really can't say "Should a good team have even been in that situation?" because the consensus 2 and 3 were in those situations several times.