Since Sarah didn't say it, I'll chime in with my own experience. I have one of hers and a Reflectix style cozy I got from AGG in my Caldera Kitchen kit. The Reflectix is basically bubble wrap. If/when something should puncture a few of the bubbles, it doesn't insulate in that spot as well since it no longer retains the heat. Depending on how many bubbles get compromised, this could have minimal or more influence. Sarah's cozies are a cloth material on the outside with a synthetic insulation on the inside. Any damage to it should only be cosmetic. I don't think the difference would be much, but logic leads me to the one that would be harder to damage.
I hold no financial interest in either, but I prefer my "old school camo" cozy to the Reflectix one any day.