It may be the case that some of the characteristic horn coloration and "shout" has to do with crossover/amp compatibility, but, clearly, some of it has to do with characteristics of horn reproduction itself. I have heard big changes in sound from use of different damping material on the exterior and interior of the horn itself. Also, the same driver used on different types of horns can deliver completely different sound.
I also suspect that, to some extent, it is the midrange peak of typical horns that, to some extent, creates the impression of great dynamics and liveliness. Those horn systems where such peaks are tamed and tonal balance is actually quite decent also tend to sound a bit less lively.
I also suspect that, to some extent, it is the midrange peak of typical horns that, to some extent, creates the impression of great dynamics and liveliness. Those horn systems where such peaks are tamed and tonal balance is actually quite decent also tend to sound a bit less lively.