I did not think you really meant to let them starve, just trying to make the point that avoiding all things that can "make them hot" is impossible if taken literally.
Were those resources dealing with chickens specifically, or with other animals like horses or cattle? I can see it making sense to feed grass instead of grain in hot weather for grazing animals. And I know that corn is considered a "hot" food for horses (but that refers to their behavior, not their body temperature, as any number of internet articles are happy to explain. Corn has more calories than oats for the same volume, so a horse will have too much energy if it is fed corn instead of oats from a same-sized scoop.)
But chicken food usually has a large amount of grain in it, and you can't just switch them over to grass instead. So I don't think the grain-based treats would make much difference to chicken temperature. It is probably healthier for the chickens to eat their normal feed instead of plain corn and scratch grains, but that is because of which nutrients are present, not because of anything to do with temperature.
If wrong information is being spread around, it is better to figure out what is right so we don't give the wrong advice. (That applies no matter which one of us is right, and is why I'm still trying to figure out a way to know for sure which way it goes.)