Can team abilities be outwitted?

My local judge has reversed himself on this ruling at least twice now, and I'd like to get a definitive answer.

No, they can't be Outwitted.

A funny thing about that, though, is that you can outwit the outwit gained by the Superman Enemy TA, effectively outwitting the TA. Outwit. Just wanted to say it one more time.

Well not exactly...while you could Outwit the Outwit granted by the Superman Enemy TA the Superman Enemy TA is still up and kicking.

Example:

Two SE TA characters are adjacent, one is 60 points and the other is 40 points, the 60 point character gains Outwit. Now let's say that Outwit gets Outwitted. That character now has its Outwit Outwitted, but the Superman Enemy TA on it is still functioning. So it can move adjacent to a different SE TA character who is, for example, 100 points. Now that pair are both Superman Enemy TA and the 100 point character gets Outwit (because the TA is still functioning. It would only be an Outwit on the 60 point character which would be Outwitted.)