I am not sure if hearing ability has something to do with an unnatural sound. All hi-fi audio sounds are the unnatural sound. Since I made my audio system and computer speakers the natural sound, my tinnitus don't bother me anymore while I can still hear soft high freq tinnitus sounds. I don't know if my hearing is better with the natural sound, but my ears are certainly easier and calmer. May be you can test your hearing with the natural and unnatural sounds in videos below. Alex/Wavetouch Killing me softly - (Natural vs. Un-natural sound), PA speaker comparison. Female voice
Classic music - (Natural vs. Un-natural sound), PA speaker comparison