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Electrostatic speakers were in vogue a few years ago : they double as air filters. 
Incidentally, I have always felt the sound quality was better with headphones and I presumed this was because they didn't need to move much air so they could do it properly. Was I on the right track?
You get what you pay for, but I would expect a £20 amplifier with £200 speakers to sound a lot better than a £200 amp driving £20 speakers.
Also, loudspeakers have moving parts and they wear out in a way that solid state electronics can't.
I think you need to have very rigid diaphragms on the speakers and employ an optical feedback control system. Then, with a fast DSP it should be possible to accurately compensate for the Doppler generated IM distortion. Whether this degree of fidelity matters is another matter but I reckon it would sell for a lot of dosh to audiophiles. I will look out for the Geezer name in the HiFi world.
The distortion depends on the velocity of the speaker cone so preprocessing could only be done if the speaker design was precisely specified and consistent - not varying much over manufacturing tolerances.
As a matter of interest, as I've got older I find loud music makes my ears distort the sound. I was at London South Bank yesterday listening to various choral groups. I reckon most sound engineers have damaged their hearing and are deaf. The sound was amplified ridiculously loudly in some cases, to the extent I had to move away from the huge, and unnecessary, speakers.