Actually, by that reasoning, you could use it if you managed to find a way to heat it with legal materials (not as a conductor of electricity, but of heat)...let's say, stall a drill motor, and have it dump about 450 W into that little wire. That ought to do it.
(No, don't do this.)
Unfortunately, it's a Ni-Ti alloy, and Ti is prohibited as an exotic material. Though they don't specifically state that alloys of exotic materials are prohibited, that's probably implicit in the rule.