Not really. When you lose hairy cells at some areas in your cochlea, recruitment appears. This phenomenon consists of an augmented perception, distorted and even painful of the frequencies you're hearing worse, because adjacent hairy cells to the ones lost, get stimulated. So if you don't hear well above 8KHz, sounds at that frequency and above may produce a disagreeable perception once the cells specialized on other frequencies get "recruited" and produce a perception which isn't like the normal sound. So some people claiming they have a tiny ear for treble, they may be developing recruitment for a hearing loss on high frequencies.
This is typical of people who can keep a normal conversation on silent environments, but once there's too much noise around, they won't understand their interlocutor.