Agreed!
Those diff sounds also give you the opportunity to (Change-up) calls so the predator doesnt hear the same thing all the time which can burn-out a particular area.
You can throw in a couple more on your own. I like to use a Turkey diaphram (dbl Kee Kee) which imitates a young turkey in distress, or even a MR Squirrel call (your can operate a small sapling via foot pressure) while blowing on this distress.