The issue with extremely high temperatures is exertion - if one horse gets bullied or chased, they can overheat. A ranch nearby lost one of their horses from that. He overheated and laid down in a puddle of water in the hot sun. The water was so hot it did not help cool him down and the vet ended up putting the horse down, as the horse was in distress.
Heat can absolutely kill animals. I have had my cats and dogs overheat in Florida. I myself have gotten heat exhaustion several times… My old horse overheats in the summer and requires cold hosing, if it doesn’t rain in the afternoons. One of my others has exercise intolerance only during the summer months. She does sweat, just not enough to prevent heat stress with exertion.
I pack a gallon of water for 2 hours of riding in the summer months. And memorize every creek and water crossing location. I will jump in the creek to cool off and dump water on my horse.