Injured ball python

[Bogertophis]

CHEs get much hotter than 85-90f, try feeling yours when it's heating. It'll sting and you could burn yourself if you hold your hand to it. They get very hot.

For sure, they get screaming hot.

I'm not an expert on t-stats so correct me if I'm wrong here, but in theory, maybe the kind of t-stat used makes a difference too?
If it's proportional, it would never fully heat up & would be safer, but if it's an "on-off" t-stat, it would be blasting heat briefly before shutting off, & that's how the snake could get burned. Right? A snake might sit there through many on-off cycles & ultimately sustain some damage.