A good question; even though I DOUBT such a creature exists (I'm thinking at least ONE would've become roadkill by now, if they were out there), I might tend towards shooting one to prove that it exists unequivocally. For something like the thylacene/Tasmanian tiger (see below), I wouldn't see a reason to (no-one knows if they're extinct as a species today, but at least we know that they are/were REAL).
