Amp frequency requirements for super tweeters?


I have become intrigued with discussions of the reported improvements to system sound afforded by the addition of super tweeters- specifically the air and coherence. Being in my late ‘50s, I am less concerned about the frequency extension and more concerned about how it affects what I can hear. My question is this- my amp goes to 20kHz, do I need an extended frequency range amp for driving this?
Same question for digital crossovers like the DCX2496.
ckmurf
In other words, regardless of your hearing's upper limits, the high frequencies in live music have a very real effect on what is going on at the lower, more "audible" frequencies, and this goes a long way in explaining why 20KHZ shelving on "red book" CDs can sound somewhat less alive (and why LPs, with their much higher frequency range can sound so good). I find that digital with a good up-sampling DAC and a wide frequency tube amp help make the world a better place.
It's been a while, but didn't Whest come out with a component that was to help meant to address that very issue? And if so, would it make sense to go with a super tweeter, or a component like Whest makes?
"01-16-15: Atmasphere
How could another component open up the bandwidth of an amplifier??"

If I remember correctly, it was a box that went between a CD player and the preamp. Redbook specs call for the CD's highest frequency to be 20k, and then it cuts off. I believe the purpose of the component was to try and re-construct frequencies above 20k using the information that was already on the CD.

But its been a while since I read about this component. There's a good chance my details are not all correct. I'll try to find more info for you, and I'll post it.