Haven't had a chance to shoot a coyote yet with my 32, but I popped a couple of foxes with it last year. I can't say how they compare to coyotes, but dead is dead.
I shot both with my small game load, a PRB over 20 grains of 3f. Lung shots and they dropped without a fuss. Range was inside 30 yards, but I doubt if performance would have been so certain if they had been a lot further off.
There was a recent thread about coyotes and 32's, in which some folks advocated heavier charges (up to 40 grains as I recall) and conicals- 32 Maxiballs, if my memory continues to serve- for better long range performance. You might go digging for that thread (it may have been in the percussion section), because I recall several reports of coyote kills.