Neat critters. I have seen very few in my life but ironically my closest hunting pals have seen quite a few over the years. They seem to avoid me. I will shoot every coyote I can get a shot at, but just can't bring myself to shoot a bobcat on the rare occasion that I might see one.
I realize that both bobcats and coyotes are both predators that feed on the same type prey but like you, coyotes are in season whenever I see one and bobcats will never be. Strange because I am a dog lover at heart and feel no attraction to domestic cats whatsoever and never have.