It appears that some big horn speakers mentioned on this thread have defied all physics, engg design, material science, etc and achieved unmatchable transients, as per the sales crew. No, they did not, but, whatever helps to sell your stuff.
Maybe you are blowing things a bit out of proportion here. Who claims that, and are you referring to below quoted paragraph by poster larryi?
A dealer in the Washington DC area, Deja Vu Audio, builds custom speakers using modern and vintage components. These can be tailored to one's specific taste, which is a BIG advantage of a custom build. They employ vintage midrange horns and compression drivers because there is very little out there that can match these old drivers except VERY expensive drivers from the like of G.I.P., ALE, Cogent and Goto. These systems truly deliver excellent dynamics while retaining a sweet, natural and relaxed sound; the weight and sense of large scale is particularly good when very large format horns are employed (some of these horns are monsters).
There's no hyperbole in above text by Larry (not by dealers), but rather what appears to be honest reporting of impressions - again, if that's what's really the source of your gripes.
Have you heard very large all-horn systems? And no, a pair of JBL Everest DD67000's (just a thought-up example) aren't big by that measure, and they're also only horn-loaded from ~700Hz on up. The Klipsch K-horns are fully horn-loaded, but severely undersized as such.
All-horn systems that plays down into in the 25-30Hz region, that are non-truncated down low and controls directivity in their entire range on up on the other hand are very large, and that's just with 1/4 wave bass horns (full-wave bass horns, as you know, are impractical for most for obvious reasons). What they nonetheless do compared to their mostly undersized and hybrid brethren - and this is important - is actually (and just barely) complying with physics, not defying them, and therein lies a big difference.
If anything it appears speakers of such size defies the acceptance in the minds of those audiophiles who've grown accustomed to their neatly small box speakers, and who would still have their cake and eat it too - I guess not least aided by those dealers who've sold them these speakers and filled them with marketing BS in the process.
As to the relevance of transient abilities in a speaker and all that implies, it seems that area has now become a bit washed out, subjective in nature and with brands rather than general physics and design as the prevalent factor. That being said, if we're speaking leading edge cleanliness/transient prowess in most of the audible frequency spectrum, and effortless at that at most any desired SPL (i.e.: easy of reproduction is not trivial here), large size and efficiency in addition to proper design/technology - from my chair - is inescapable.