I've called in coyote and cougar while calling elk. Never considered shooting them with anything but the bow.
Ever called in a grizzly? Happened here about 5 miles from my house a few years back. Two guys covered in elk urine cow and calf calling and a sow and couple of year old cubs charged in and mauled the crap out of one dude. Im not worried about a coyote or lion I could fend off with a stick.