Ya, tell that to my broken wrist!
Chez, I'm sorry to hear about your wrist but let me tell you something important for the future, something not many people realise. They get their wrists broken when they attempt to support themselves with a hand when falling, broken fingers are common, too. They get their legs (especially the knees or ankles) maimed when they try supporting themselves with a foot during the crash.
The survival technique (with the helmet on!) is to hold onto the handlebar grips with the feet firmly planted on the pedals while spilling. If only doable, twist your upper body to flatly fall onto your back; the head
will bang the ground but it is the role of the helmet to mitigate the injury. In such situations, your bike would absorb the most of the beating. (Twisting the body prevents collarbone injuries).
See that short from Chargeride: the man held onto his bike until he was thrown into the air. Even there, he had his arms closely to his body, and he simply did nothing else to save himself.
I'm saying all that because my discipline (gravel cycling) is where any of us meets the Mother Earth once in a while. Injuries are rare. There are many videos from gravel races in which a rider had an Over-The-Bars, then he/she gets up and continues the ride.
---------------
My close female friend got her forearm broken on her first e-bike ride. Her e-bike was stopped by a large dog running under her front wheel. She flew over the bars as if she were a ski-jumper. Could have come out intact but she subconsciously extended her arm to soften the fall...
I hope these remarks may save someone in the future.