While I can easily remove gloves without touching any part of the contaminated surface, I don’t think removing the suit without touching any part of the outer surface would be quite so easy. Particularly if it was stuck to you with sweat...
Even taking off gloves without touching part of the outer surface is tricky, but you get the hang of it. Although I wouldn’t want to bet my life I do it perfectly every time....
I’m sure there’s a method for safely removing the suit and those wearing it should have been taught