It's an interesting idea. My current preference is to go with custom-molded in-ear drivers. They're so comfortable that I forget they're even in my ears. They are triple-driver, so I'm getting a very balanced and clear signal, and because they're molded to my ear canals, I get around 20 dB of isolation. I know I have some hearing loss from 35 years of playing professionally, so when I got my in-ear molds, I had the audiologist perform a frequency test. I'm lucky that my hearing is still pretty good, but it's definitely not perfect! So I took the detection curve from my test, and inverted it. That became my adjustment EQ to return to flat response, which I programmed into my in-ear transmitter as a baseline. Then I created a few "adjusted" curves for specific applications.
When I play live, my AxeFX is feeding my in-ears and I (generally) use the flat EQ setting.
It seems like quite a challenge for any set of headphones to adjust to an individual's hearing curve. I don't imagine it's "automatic"; as noted above, that would require some means of measuring the ear->brain impulses. I would expect they might have an application that you use with the headphones, to do a similar frequency detection test to the one I described. Then you could apply that reverse curve to the headphones, to achieve a neutral response.
