An EQ isn't the equivalent of repainting a painting a different color. It is much more precise than colored equipment. Repainting a painting is using a different headphone, such as a Grado. Grados repaint paintings to the colors of the sun. Actually all headphones are colored as hell so talking about keeping things accurate by not EQing is backwards thinking. You need to EQ to make your headphones accurate which is much more precise than throwing AMPs and DACs with various unique voicings which still won't match perfectly with the headphone in question. Of course, if you have the money and time, you could get the perfect AMP and DAC combination for every headphone you own (if it exists).
You don't believe that even yourself. xD Trust me. So I NEED to EQ to make my headphone accurate? How am I supposed to know when it's accurate? Do I EQ for every song separately because I have music recorded and mixed by hundreds of different people, everyone with a different view of "accuracy"? You're just wrong, nothing more. Of course I can make listening a complete hell, or I can sit back and enjoy the sound I'm used to.