They don’t really “heat” the leg. They aid in increasing circulation, or at least how I understand it.
I can’t tell you HOW they exactly work, but they do indeed work. But with that said, I will personally NOT use them when it is hot out. While they don’t generate heat, you are still putting fabric/material on a leg (just like putting on a coat in the summer). You will get warm, of course. Same with the BOT.
But they have worked extremely well for me (I have the quick wraps) if a horse tends to stock up (from stalling, or otherwise), or has a random swollen lower leg injury. Only 15-20 minutes and the leg is usually working good. (Side note, when it is hot out, the Cool Aid Tendon wraps have been amazing!)
You know, for the hour ? that you have the polo wraps on while you ride, I honestly wouldn’t worry about it.
Agree with the others about proper warm up and cool down, and riding the horse on a variety of surfaces.
Curious: I assume your friend also compared leg temperature after low impact exercise WITHOUT bandages, as a control? What was that?