I've been pondering your question, trying to consider just how I feel about it. listening to my system yesterday and today, thinking about my experience on Wednesday afternoon at David's, I think I would say my particular 'box and cone' system maybe has a bit of 'horn' to it. and how I mean that, is that (1) I have such a huge amount of driver surface likely compared to any other 'box and cone' set-up I know of, (2) my room has such an ultra reflective floor, walls and ceiling around the speakers, (3) I have painstakingly treated all the necessary surfaces of all that reflective surface, (4) my speakers are very efficient and easy loads, (5) I have a huge amount of headroom in my amplification, and (6) I sit in the extreme nearfield where I get maximum musical engagement. so while a horn like David's Bioner's has greater 'jump factor' and 'projection' in degrees, my system can get close enough to the effect of horns that it is able to approach that feeling.....even while the character of the presentation has clear differences.
where I came up with that is simply from listening to my system this last 36 hours and trying to connect the dots on why our systems have so much in common. sure; David's system does these unique things, but musically I'm hearing the same reality if with slightly different attributes.
they attain their particular performances with radically different approaches.
this is just my own 2 cents about how things look after reflection from my visit and subsequent listening to my system. if 10 people were to listen to both systems back to back I'm not sure all would share my viewpoint. I like to think that my approach to the whole room, speaker, and total system building challenge has allowed my system to get very close to what panels do best, what other non cones do best, and what horns do best. I know what sort of effort it has taken me to get where I am, and I can see what effort David has made in his system too.
and when you think about it, as any design approaches optimization it should then take on characteristics of the best of other designs. we are all trying to reproduce music as a common goal.
on the pathway to music reproduction nirvana there is quite a bit of divergence of approaches, but as we move down that road farther and farther I think maybe the paths get closer and closer together nearing the goal.