I have my doubts about body position causing more or less sweating; I would be more inclined to believe that it allows for better evaporation. Since the end effect would be much the same, it might seem like nit-picking, but better understanding what's going on makes it easier to apply knowledge to different scenarios.
I also have my doubts about weight on hands causing more heat. "W=fd" (Work equals force times distance); while there's more force on the arms, it's a resting force, so nominally no energy is being expended. This is not an ideal model of course, as there is some up and down movement, and some work is done to stabilize side-to-side motion,
Proof of this is that it is much easier to hold a plank than to do pushups, but a person who has poor muscle tone is going to feel the strain more and may start sweating.
That said, there's quite a lot of variability in body types, physiology, etc, and there's something for me to learn from people who have different experiences.
"I am only an egg." (Stranger in a Strange Land, R. Heinlein)