Regardless, I understand having transducers you like the sound of for fun though. I have a Stax set I know isn't accurate, and some dynamics are surely faster as shown on some waterfall plots amusingly. Nonetheless I still enjoy them despite this for fun listening. In fact, my K601 is my only true "reference" pair in terms of desirable attributes for reproduction (picked for specifically that reason).
I guess my point is: I rather spend my time looking for a better recording itself that is more "real to life" to play on an accurate system than chase a unicorn by guessing on something you can't know (I think the odds of getting it are worse than winning the lottery ten times straight :p ) There's only one form of accurate in this context, but you can try and find what you subjectively consider "realistic", which is much more plausible than "accurate" so to speak. Maybe it's just an argument over semantics now that I think about it, heh.
i think the K601 are the flatest sounding HP i've heard - seamless from top to bottom without a ripple. they remind me of my ATC monitors.