You are right. OSU does have a good football program and they have won several bowl games. But when they play a SEC team in a bowl game they seem to choke. The SEC owns the bucks. As for the SEC is nothing, the SEC has won the last three BCS Championship games.
1978 Sugar Bowl: Alabama 35, Ohio State 6 - Woody Hayes
1990 Hall Of Fame Bowl: Auburn 31, Ohio State 14 - John Cooper
1993 Citrus Bowl: Georgia 21, Ohio State 14 - John Cooper
1995 Citrus Bowl: Alabama 24, Ohio State 14 - John Cooper
1996 Citrus Bowl: Tennessee 20, Ohio State 14 - John Cooper
2001 Outback Bowl: South Carolina 24, Ohio State 7 - John Cooper
2002 Outback Bowl: South Carolina 31, Ohio State 28 - Jim Tressel
2007 BCS Championship: Florida 41, Ohio State 14 - Jim Tressel
2008 BCS Championship: LSU 38, Ohio State 24 - Jim Tressel