This way, when you fall, your hand has a better chance of disengaging the pole. It is not a myth that more ski injuries happen latter in the day when muscles are fatigued and less responsive. Better to quit early and enjoy apres ski. Try to fall with your head tucked in, your skis together and your arms at your side. Tumbling, sprawling falls are much more likely to cause injury.
Collision is a common cause of injury.
You are skiing too fast if you cannot avoid obstacles in your path.