Supertweeters do make a big subjective difference to the sound quality of most speakers, surprisingly almost always making the bass sound better defined and more taut. I would guess it probably has to do with enhancing the portrayal of the cues around the performed note that tell us more about what it actually sounds like (ie. does the bass guitar resonate the snare on the snare drum at a certain note?). As I have said above a traditional supertweeter implementation is clearly operational at audible frequencies of 10kHz and above - I have mine set with an 18kHz crossover point with a 27Ohm resistor in parallel and it makes a big difference in the audible range - albeit with full range speakers that naturally roll-off above 12-15KHZ.
If I do the hearing tests I can hear up to about 17-18kHz (29 years old), although in every test instance you are only hearing the aggregate of how much the frequency response of the speaker and of your ears has deteriorated at this point.
If I do the hearing tests I can hear up to about 17-18kHz (29 years old), although in every test instance you are only hearing the aggregate of how much the frequency response of the speaker and of your ears has deteriorated at this point.