Can confirm. I've been 170+ cm 60+ kg, since 15 years old and never had an sprained ankle due to reflexes. But it also comes down to footwear. If you have a weak ankle and a thick sole you're in trouble, if you want to run in a forest or over rocks. Minimalist shoes might not give you ankle protection, but atleast they make your ankle stronger.
Wouldn't say that there is always a chance to shift weight Xant. When this happened to me, my other leg was still somewhere above the rest of my body, that's just poor coordination on my part, though. All I could do was brace and try to spread the force on impact, which I apparently did quite well, as I can hop around, on the hurt leg, today, without much pain.