Every year at this time Ohio sends out a lot of offers to the players they want the most. Most of them turn out to be 3-4 star athletes, with a few 5-star guys mixed in, and a few 2-star guys mixed in. Most of them get offers from multiple P5 teams, and yes, some get offers from Alabama, Ohio State, etc. About 10% of them end up choosing Ohio.
If look at the top thread locked on the top of the recruiting forum, you will find a chart that tells by month when Ohio got recruits. I can't repost the table here in a readable way because of the changes to the input screen (I hope Ryan eventually gets it fixed), so you have to look at it there. Prior to 2010 Ohio never got any verbals prior to September, meaning that they got few if any verbals from their initial batch of offers.
In 2013 something new started happening. Ohio started getting back large numbers of verbals from those initial offers, meaning that Ohio was getting the kids that were their first choice, rather than kids they picked out after the season to fill the class. The result was significantly better recruiting classes in 2013, 2014, and 2015.
Here is a link to some of the people Ohio offered for 2014, and it's filled with people that accepted P5 offers:
http://ohio.247sports.com/Season/2015-Football/OffersSaying that no one would ever turn down a P5 offer to play at Ohio is just plain wrong. It happens almost every year, usually with 2-3 players. Here are some of them:
Horrace Hubbard - TCU, USF, Minnesota
McCrae - Indiana
Zac Clark - Minnesota
Keller - grayshirt, Kansas\
Dawson - Mississippi
Bussey - Indiana
Britain - Mississippi
Gerald Moore - Louisville, Northwestern
Tremayne Scott - Kansas, Louisville
Jon Lechner - Iowa State, grayshirts at Wisconsin, Nebraska
X. Hughes - West Virginia
Sam Johnson - BC, Louisville
Ben Russell - Minnesota
L. Smith - Indiana, Syracuse
Crutcher - Illinois
Welter - California
McQueen - Indiana, W. Virginia
Gibbons - BC, Illinois, Wake Forest
S. Smith - Indiana
Schany - Colorado
Tanner - BC
Blair Brown - Indiana
Quallen - grayshirt, Wisconsin
Lowery - Illinois
McCray - Louisville
Walker - Wake Forest