I currently own - and will continue to into the forseeable future - a pair of Polish built speakers with a 12" woofer/midrange and 12" waveguide(Geddes-based) "fed" by a compression driver. The 12" units supposedly extend to ~1.5kHz, but I can honestly and wholeheartedly say that I've never heard more (or even as much) cohesive sounding speakers as these(save perhaps the Quad's..), nor are the central mids marred by any signs of "beaming" now that we've entered and passed the above mentioned critical 1100Hz. Moreover, there's just something completely beguiling about the way a 12"(or 15"+) woofer produces bass that's simply not equalled by smaller units, be they one their own(per channel) or multiples. The history of these sonic impressions of mine - i.e. the evidence of my stance, if you will - are based on and generalized by a long list of "representatives" on both sides(speakers with either smaller or larger bass/mid units).
That is to say: many of the con's against larger cones (as well as the pro's directed at smaller units) seems to be founded predominantly in theory, no doubt led on in some instances by marketing efforts, and this goes both with regard to the larger cones qualities into bass reproduction as well as their abilities as midrange units. Whenever these discussions break out it's noteworthy how little is said of actually perceived differences that would in some way, or not, confirm the variety of theories on this - a matter I believe of utmost importance; what I find interesting about the theorizing, or least its attempts on this issue, are trying to come about reasons for the reporting on perceived advantages (or disadvantages, for that matter) of larger units, at least with regard to bass reproduction, instead of seeing the theoretical advantages of smaller units not called into (perceived) question.
Based on what I've actually heard, my foremost area of attention, I can only say that larger bass/mid drivers(12-15"), as well as 18"+ sub-only bass drivers, not only merely "does the job," but in many combinations does so with a clear advantage compared to speakers based on smaller bass/mid drivers. It would require a much longer message to come about the different aspects in which I see these advantages - perhaps another time.