A morbid question about rawhide torture: Could wearing a wet rawhide suit really kill someone?

I've heard that some Native American cultures used wet rawhide straps as a means of torture/execution. The condemned would be bound in it and left in the sun. As the warming rawhide shrank in the heat, the condemned would be crushed or strangled. My question is: What would a one-piece rawhide suit do to the human body?