I've been told that coyotes don't fully perceive you as human when you're on horseback. Given how clever coyotes are, that may not be accurate, but being on horseback does change everything.
Just as a starting point, you're automatically superior to everybody else who's on foot. Just ask any horseman.
I've also been told that mountain lions don't climb trees, but the one I encountered while on horseback had not been informed of that, and he was at least twenty-five feet up for no apparent reason.
Thread drift alert...