I lived in upstate NY until I was 14 and vacated there until I was 22.
The joke around the Adirondecks, told in ALL company including children, is about the NYC city slicker who came to farm country upstate and couldn't tell the difference between a horse and a cow.
My question is why would anyone be aghast when discussing the anatomy of a horse? Don't adults teach children to use correct anatomy terms and to feel no shame when discussing the body? This is a tempest in a teapot.