The 4XX's response is actually closer on average to the Ananda and HE1000 than the 400i models, particularly in the bass, and lower to mid-treble where our ears are most sensitive:
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Your subjective judgement that the 4** models are 'clearly below' the Andanda and HE1000 is therefore likely heavily skewed by subconscious
pricing bias, as it's simply not logically consistent with the objective data.
Remember the measurements from headphones clearly needs a lot of job, you can't judge only by measurements in headphones, thd and fr are just insuficient, for example you can't quantify the dynamics, soundstage or the speed of the driver in m/s, etc.
In headphones you need to use your ears, in speakers the measurements have a lot more sense.
HE1000 is clearly superior headphone, is more like a e-stat headphone but planar magnetic, the 4** series just cannot match that headphone, for example if Hifiman reduce the weight of the driver the measurements will not show that.
If a headphone can have really good dynamic and at the same time be very resolving headphone, that headphone is pure gold. The 4** series just lack of dynamics to my ears, no matter what EQ you put in there..
Another example, here are the CSR FROM 400i and HE1K
he400i
HE1000
For my ears is clearly the he1000 it's much clean and resolving, but to my eyes clearly the he1000 is not better
Maybe bass suffers with headphones because there is no tactile experience of the LF energy hitting your entire body.
Headphones currently can show 20hz, especialy the planar magnetic at such low distortion that speakers can dream... a very good headphone will be very quick and clean in bass, there is some headphones that also can show a tacticle experience but also is that reason why in headphones a neutral FR doesn't sound right as speakers, headphones are more resolving and a lot les tactile, a little coloration is better than neutral in headphones, specially if the bass is clean.
I mean there is no '' room interaction '' just clean sound to your ear.