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Nebu comments on The Least Convenient Possible World - Less Wrong
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"Would you say that axioms in math are meaningless?"
They distinguish one hypothetical world from another. Furthermore, some of them can be empirically tested. At present, Euclidean geometry seems to be false and Riemannian to be true, and the only difference is a single axiom.
I think the words "true" and "false" have some connotation that you might not want to imply? Perhaps it would clearer to phrase this as "At present, it seems like the geometry of our universe is not Euclidean and that the geometry of our universe is Riemannian.".