In reality, there isn't much happening in that last 1/3 octave anyway, music wise. Our loss of hearing in the top octave(s) is something that starts already around the age of 20, & it's a completely natural part of aging. When my father got in his sixties, he could no longer hear the grasshoppers high pitched 'fiddling' in the late Summer evenings. When it comes to the noises of a modern society, our ears are actually more prone to be damaged in the lower trebble area, ~3-4kHz. Here our ears also have a natural amplification of sounds due to the length from the outer ear to the ear drum.So I say, give it a try. Just my two cents.