What the heck is a "super" tweeter? A tweeter that goes 4kHz to 20kHz, or something that goes 8kHz to 40kHz? Some tweeters get the "super" designation from their marketing folks, but there isn't much "super" about them -- the Eminence APT driver that BEC uses is a good example of that. It's a good tweeter, but it's just a tweeter for cry'in out loud. When I think "super tweeter" I think about "bullet" tweeters -- very narrow dispersion -- coming at you like a laser beam out to 100kHz.:) Anyways, a tweeter that goes to 40kHz should have better transient response than one that goes out to 20kHz, so it's not necessarily the extended frequency response one is perceiving (especially if you can't hear past 15kHz). There is also the issue of attenuation -- if the tweeter you substitute or add on is a dB or two higher, you can easily be faked into thinking it's going higher. Filter slope is a big factor too -- if you add a "super" tweeter that goes out to 40kHz to one below it that goes out to 20kHz -- and you do it using a first order filter crossing over at 20kHz -- there is a load of overlapping energy between 10kHz and 20kHz. So again, the difference being heard probably doesn't have much to do with having FR out to 40kHz. Finally, don't forget about the power response and its role in what we hear -- the ratio of on and off-axis energy.
Leave your speakers alone unless you can test and verify and/or know what you're doing. Replacing caps in a crossover is one thing, changing/adding driver/horns is something else entirely.
"One pair of speakers with level response to 20khz. Add 2 amplifiers. One that rolls off beginning at 15khz, the other has flat response to 250khz. They are otherwise the same circuit. Prediction: you will easily hear the difference between these amplifiers, even though you have previously shown that you can't hear above 15khz."
Right, but it's not necessarily related directly to FR.