When using distress calls while deer hunting for bucks, the single most useful reaction I've had is that whitetail and blacktail bucks will stand up from where they were lying unseen in brush, and stare at me. Some whitetails run away. Blacktails tend to get on a vantage spot and look at the sound. Non distress deer sounds will attract bucks however, as well as predators. I've killed mule deer and blacktail bucks by using them.
As seen by many posters, mule deer does come in to distress sounds variously labeled fawn, jackrabbit, cub bawl, etc. as do blacktail does and sometimes whitetail. That isn't much use in most buck seasons.
Go out in the woods and experiment, and see what animals do when you call.