From what I can gather, the people in charge of the stadium atmosphere are sort of oblivious at times. I've heard that they once asked the band if their pre-game show could be shortened by deleting Script Ohio.
There are plenty of reasons to drop "Seven Nation Army" in favor of "Ohio", and many good ones were listed above. But the biggest reason has to be that the White Stripes are from that state to the north and west of us. How embarrassing is that?