I agree with royg. I would go a step further and say with regards to the human wrist, the twist should be evaluated last. Look at how your wrist moves. Yes, forwards and backwards and side to side, but can you twist your hand on its own axis when it’s bent forward? Or tilted sideways? No, the twist action causes your hand to swing about the forearm when it’s bent or tilted. That means that the twist axis should not be the ‘child’ of any other rotation and remain oriented with the forearm.
Z - forwards/backwards
Y - side to side
X - twist
ZYX should be your best choice.