Do you have any sources to show distortion as a function of distance for small (or any size) speakers at reasonable listening levels, or even what the physical mechanism would be?
SPL is a function of distance. Every doubling of distance in a small room SPL falls 3-4dB, more if heavily treated. Therefore, to get the same sensation of loudness, you have to turn up your system, which increases the distortion.
The max output for the KH 80 according to Neumann is below.
At 100Hz, for a distance of 1.4m, you hit 10% THD (the blue line; or 20dB SINAD) and get an output of just over 90dB SPL. That's psychoacoustically equivalent to 80dB SPL at 1kHz (look at the red lines in the equal loudness contours below to understand equivalencies, since we don't hear evenly per frequency). I'd say 80dB SPL is reasonably loud. It's a normal working volume in studios, and way quieter than noise you hear as a passenger while flying or the stupendous volume in movie theatres. Mind you, even at its limits the KH80 won't sound terrible. It's still a very good speaker.
Another important measurement is compression, but Amir does not include it in his suite. Compression tells you how much output is lost when the speaker plays louder than it can handle. This is per frequency, so according to the max SPL graph above, the KH 80 will do fine above 1kHz, but will struggle with the lower mids and bass, although we don't know how much. Compression basically tells if there will be a change in frequency response depending on playback level. For larger speakers this is much less of a problem. See some measurements here for a similarly good and similarly small speaker measured by Erin:
https://www.erinsaudiocorner.com/loudspeakers/genelec_8331a/ It's an active speaker, like the KH80, and has limiting built in to protect it from overheating and destroying the drivers.
How significant controlled directivity is I'm not sure, are there any blinded tests? Dr Toole doesn't seem overly impressed by the effects of variable room reflections.
An big part of Toole's work was to prove that directivity was one of the most important factors in what you hear, and that directivity (specifically off-axis response) in speakers heavily influences whether or not reflections are found beneficial. I'll direct you to his book for the results and details of blind tests.
Interpreting the measured results is not easy. You're looking for relative smoothness. Use this tool to compare speakers:
https://www.spinorama.org/ (
KH80 vs. F35, vs.
F228Be) This is a poor speaker because of the directivity error at HF:
Triangle Borea BR03.
looking at directivity for the kh80, the Revel F35 and the Revel f228be, both pretty big speakers, I'm not convinced size has much to do with directivity in any meaningful way. Does 3-5 db really make any audible difference after being bounced around a real room?
The lower the frequency, the less change in dB SPL is required before a difference is registered, again according to the equal loudness contours above. By the time the KH80s get to 400Hz, they are more or less omnidirectional, while the F35 maintains control to 200Hz, and that's even more the case for the F228Be. This also has to do with how speakers interact with rooms, which is a complex topic in itself. Take this recent trainwreck/excellent thread here:
https://www.audiosciencereview.com/...peakers-and-room-treatment-goldensound.45104/
Physical size also affects how the speakers radiate and couple with your room. The KH80 has a precise, small image because of the closely spaced drivers and good directivity. The Revel speakers will sound more diffuse, although the tone will be similar.
Here are two speakers widely considered excellent:
Dutch & Dutch 8c,
Genelec 8361A. They are much bigger than the KH80. Due to driver placement and other elements of design, they have excellent directivity control. And then compare the KH80 to the larger
Neumann KH420 for example. Above 1kHz it'll be similar in tone and presentation, but for lower frequencies it'll be a different experience. Now take a speaker with a 28" front width and a horn:
Danley SH-60.