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
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.
The Whest Audio DAP.10 is the component I mentioned in my last post. Looks like its been discontinued. I'm pretty sure Stereophile reviewed it, but I couldn't it on their web site.