Actually Skier's thumb is commonly said to be when the thumb is pulled back too far towards your wrist, not so much crushing it. I crushed my thumb between me and a cannon rail (large propane tank) a few weeks ago and my thumb is still swollen. It caused a small hairline fracture along my thumb. So I guess this sort of injury would in fact be called thumb bang, not skier's thumb.
Side note: I personally no longer use pole straps while skiing in the park. My logic: A friend of mine once fell landing too far forward, he tried to ditch his poles and put his arms in front of him as that is pretty much anyone's instinct. His pole straps stayed on. This unfortunately caused a pole to spear into the ground, and he broke his jaw on the handle. I just don't feel like it is worth the risk, even if it is unlikely. Lets be real, a broken jaw would fucking suck.
You terrain park would be responsible for more deaths than Hitler. - 45.