As some said early on, the evidence seems to point toward improperly followed procedures. I was thinking about how one would remove a pair of latex gloves after handling an Ebola patient without contaminating oneself. Once you've pulled the right one off, how do you pull the left one off without touching it with your right hand.
You remove both at once. Cross your arms so that you palms face, then you pinch a region towards the wrist of the glove and pull, both gloves end up together and inside-out. This is standard procedure in biological labs since we routinely end up with gloves contaminated with something.
Double gloving is a back-up although I'd worry that - like wearing two condoms - it might increase the risk of breakages.
Never worked in a hazard suit so I'm not sure how you remove those - however, I'd be confident that there is a known and well understood technique for safe removal. The problem is that the staff involved are not experienced and trained for this kind of thing.