The guy said "in a temperature range where burns are more likely". I'm not sure why you're objecting; there are certainly ranges where burns are less likely; that's what the paper I posted is about.
I think it's also pretty clear just from the burn time curve. If it takes you a second or two to notice the heat and move away, then anything above ~155F is going to make a burn much more likely. At 180F, the burn is basically instantaneous. Whereas at 140F, having five seconds to respond gives you a lot of time to move, shake off the liquid, et cetera.