I have had a close encounter with a moose under similar conditions. I never saw the moose until we were perhaps 15-20 feet from it, at which point it took off running and scared the crap out of me. Fortunately, it was not aggressive, and ran away from us.
I agree that this man was Way Too Close, and perhaps he put himself in harm’s way by stalking the creature. Still, from my own experience I can say that it’s surprisingly easy to find yourself unexpectedly in moose proximity.