No, please stop this nonsense.
Most mixing engineers are sitting in an acoustically well-treated listening environment where they can hear what they are doing, and try their best to make the mix sound as best as possible in the environment they are in. They will certainly not be sitting there guessing what the mix may sound like in a lousy listening environment with bad acoustics hoping that that somehow will solve the overall sound in the end, an idea like that is so freaking far away from anything real.
Once again, distortion and directivity behaviors are two completely different things and you can't just compare them apples-to-apples. The distortion comes with the direct sound from the speakers while the early reflections come way behind, maybe 5-10 milliseconds after the direct sound on average, and masked by the continuous music signal which in an acoustically well-behaved environment is probably attenuated by -20 to -25 dB.
I don't think that's non-sense, mixing engineers of course don't make it sound way too dry in the well damped room, but they won't make it sound like crap in reflective rooms either, it's just taking the balance between both worlds to make a mix sound right and translates on most systems.
put this aside, assuming what you said so far are 100% correct, so what we have here:
1) directivity isn't important in a well damped room, coz the reflected sound is -20db or more from direct sound
2) distortion is very important, so 8C is horrible, and presumably "distortionless" ATCs have (mid) drivers (at -50db SPL? at 90db or higher?) is superior to say, even the KH120II with distortion <0.5% above 150hz at 96db SPL and <0.5% above 90hz at 86db SPL with excellent directivity.
3) Mixing engineers have well treated rooms so directivity isn't important but they detect distortion
4) Some mixing engineers, at least a few produced great mixes bought the 8C from Purite
5) ATC engineer have said directivity is considered and important in their design
Maybe I have read or added something, but please point out which one you don't agree on? I actually do wanted to see some larger studio ATCs to be measured, since they have been 3 ways with crossovers selected properly it could do reasonably well even in Klippel data and their drivers could have been superior to say, Genelec Soffit mounted ones also, all needs data supporting. But saying well treated room making directivity errors non-issue while way below fundamental distortion difference is important is kind of funny, -20db distortion vs -50db can be audible in an A/B test depends on frequency, or person, but -45db vs -50db? you got to have something to show it's actually audible,
Study like this:
https://www.axiomaudio.com/blog/distortion shows at the midrange distortion threshold is at best ~-30db SPL, add extra 10db you got -40db, so how on earth that will be more audible or important than the directivity error is just...