Heat stroke is a real thing, and it's not fun. There seems to be automatic systems you can't think your way out of that make things worse. Fast heartbeat is burning more calories, adding heat, and friction from viscous blood adding more heat. I imagine it's a pretty unpleasant feeling. I tend to go into shock, so I get to dodge most of that horrible sensation.

I'm pretty confident that I can say the incidence is not zero, but I'd agree it's less than 4.

this is over years. starting a multi hour run at 10 instead of 7 has some side effects. I'm not fast. I cover the distance. I've gotten into really weird headspace. I'm pretty good about tracking calories, so I'm pretty sure it was the heat from running when it's hot.

If the goal is simply to lower the temperature of the building to that of the wind, simple radiators such as those is perfectly fine.

Knowing that cities temperature is often a few degrees higher than that of the surrounding air, that would work in contemporary settings as well. But trees could play the same role more efficiently and with additional health and environmental benefits.