No matter how it plays out, it's a dumb move. bkjohns, don't you have it backward? Christine was on Coach's tribe. If she's going to flip (probably), it would be to Ozzie's tribe anyway. Unless you're anticipating her flipping again (which would be a tough sell since she hates Coach and her only friend has already been sent home). So, most likely, Ozzie's tribe would have Christine as their 6th anyway, making Ozzie's move irrelevant.
Another possibility is Ozzie loses to Christine, Christine goes to the other tribe, and it's STILL 6-6, but they no longer have their "savior", Ozzie. Yet another possibility (and probably the funniest one) is that Ozzie beats Christine, but the merge doesn't happen yet. Then Ozzie has to sit on Redemption Island while his tribe competes without him, mostly likely loses, and Ozzie has to battle one of his own to stay alive...thus crushing their numbers even further.
No matter how you spin it, there are two really bad outcomes for Ozzie's tribe and one "Ok...I guess" outcome. Either way, his tribe was almost assured to get 6 people. Basically, the issue was choosing between Cochrane and Christine. I guess you can question if Ozzie's tribe could trust Christine, but they've seen her compete on Redemption Island five times now. They HAVE to know that she hates Coach. I just can't see that making this asinine move worth the risk. But hey, that's been Ozzie the entire season.