I live in Cottontail country....no jackrabbits.
I do too.
I have never heard a real cottontail and a real jackrabbit in distress alone, much less side-by-side.
Maybe the coyotes in my area haven't either.
I am new to calling, but I think if they will come into a wiggly rabbit puppet, or a turkey feather tied to a string, like some folks say, maybe they will come to a slightly different screeching.
I will use mine before I pack up and move to another spot.