I don't think stating that the "no one has scored more than x points on us since x game" has any more validity as saying "tOSU hasn't won a bowl game over the SEC" does as a predictor of what is likely to happen in an Arkansas vs. Ohio State matchup.
I'm not sure its a question of validity. One of your claims is an arbitrary distinction between bowl-game competitors; whether Ohio State plays Texas is not really different from if Ohio State plays Alabama. They are big-time bowl opponents that may or may not happen to play in a specific conference. A conference is united financially, but they are certainly not the same teams and have many different aspects to their various game-plans. We are 0-9 against the SEC, but that doesn't in and of itself tell a complete story. If you wanted to really get gritty, you would try to look at Jim Tressel and the recent Buckeye teams' record against teams that would employ similar schemes and personnel to the Razorbacks.
In this instance, while 9 games is a lot in college football, we are still well outside statistical significance and are more in the realm of simple random chance. Ohio State plays in lots of bowl games, ergot Ohio State wins a lot of bowl games. They also lose a lot of bowl games. Due to contracts and bowl tie-ins, they are sometimes faced up against great SEC teams.
Meanwhile, the other claim you make is one of the past trends in Ohio State's defensive statistics. Again, this is looking at the past results to look forward into the future (aka, statistics). The issue here is that we have an immensely larger sampling database. Now we are looking at dozens or hundreds of games and the trends can begin to be claimed as statistically significant. To predict that Arkansas will be the anomaly in scoring output is difficult to accept without an immense look into the specific game match-ups. Has tOSU given up 30+ points in a game? Of course. But which teams did this occur against? What schemes did they run? What was the turnover ratio? How was the LOS utilized by either team (aka. Florida, LSU, USC and Wisconsin have all had dominant defensive line play)?
The way I look at it is this: how quickly does Arkansas score? How often may they turn it over? How much clock time will Ohio State take up with Tressel-ball? Does Arkansas simply have enough time or possessions to mount 4-5 TD drives? Over many many games, the answer is not-very likely.
Another simple issue is: I really am not counting the more anomalous scoring plays of defensive/special teams touchdowns. The argument, so far, has involved the likelihood of the Arkansas Offense scoring 28+ points against Ohio State's defense. I am not sure anyone could predict these more anomalous scoring plays.
That is NOT to say that I don't think Arkansas can win this game. I think the answer to that is: it is quite possible.