Goofy idea....unless you get into active crossover implementation or mod the existing passive crossover.
(It is nothing like blending in a subwoofer without bass management and getting away with it).
Experience with adding super tweeter?
Back in the old days, I loved the concept of a superfast ribbon tweeter for example in a 4 way (above 5kHz). Not the term super tweeter is found more and more often. And even 'add on' are availble (example below).
Has someone experimented with adding a supertweeter?
Impressions? Comments?