If you want to avoid that weird bendings with this easy character, have it conformed to the head and clear out all the joints working with the neighbors like neck in example.
Than the part will follow only the heads movements and isn't stretched or twisted with neck movements.

That's easiest done by editing the cr2. All that parameter blocks like Twisty... , Smoothy... , etc. can be deleted. For easy looking in that blocks the referenced actor is named. So in head you will find references to neck and in neck are some to head. Kill these parent-child parameters and you will be fine with this mask as character, I guess.