A fallacy is a false statement.

It a function that maps world-states to utilities, so it is a utility function.

As lessdazed has said, that is simply not what the word "fallacy" means. Neither is a utility function, in the sense of VNM, merely a function from world states to numbers; it is a function from lotteries over outcomes to numbers that satisfies their axioms. The TSUF does not satisfy those axioms. No function whose range includes 0, 1, and nothing in between can satisfy the VNM axioms. The range of a VNM utility function must be an interval of real numbers.

We're nearly at the point where it's not worth my while to listen to you because you

Ignored.