I follow a different philosophy.
that being:
there is nothing wrong with equalising (yes an 's' not a 'z'
) as long as it's used as the name 'equalise' indicates: For equalising the frequency response.
Also of course not all equalisers, hardware or software implemented are the same, so a good quality one must be used. I prefer the use of good software equalisers as they are more flexible and the potential negatives such as digital clipping (or digital shedding) is negated by the use of a higher bit depth. If you are using anything digital to adjust the volume or affect the sound, it's best to use 24 bit. This is only the real reason to use 24 bit bitdepth,
not because 24 bit bitdepth music sounds inherently better an long-time audiophile myth would have you think.
Also you cannot 'equalise' to another headphone. It's impossible as although you might equalise the frequency response, you cannot 'equalise' things such as soundstage presentation or mechanical driver quality.