Fan Death is still not a thing, because that supposedly kills perfectly healthy young people in not-especially-hot environments. It's the fan itself that's somehow deadly.
But yeah, once the air gets above body temperature, air (even moving air) isn't going to cool you off. And even somewhat below body temperature, you can get hotter because you're generating heat faster than even moving air can remove it.
Fan Death is still not a thing, because that supposedly kills perfectly healthy young people in not-especially-hot environments. It's the fan itself that's somehow deadly.
But yeah, once the air gets above body temperature, air (even moving air) isn't going to cool you off. And even somewhat below body temperature, you can get hotter because you're generating heat faster than even moving air can remove it.