A sensory neural loss usually begins in the higher frequencies and works it way down.
A significant high frequency loss of 6000 Hz and higher would probably not be noticed by a person even if it occurred in both ears. If would be of medical significance, however, because it is a "red flag" heralding a probable progressive hearing loss.
A doctor would want to explore the possible agents that might be contributing to the loss; to consider medication or changes that might be made in the environment to stop the progression of the loss; to set up a schedule of re-tests to monitor any changes in the loss that occur over time; and to prepare individuals for how to cope with a hearing loss.
As the loss dips down into the speech range, the individual progressively loses the ability to hear consonants. For young children developing language, this is particularly insidious. Because they can hear the lower frequencies very well, they respond to sounds...even soft ones. Hence, no one ever guesses they have a major hearing loss.