That is not what he said. What he said, in effect, is that eq adds compression. I agree that any time you touch the signal, you add distortion (specifically what kind of distortion is, frankly, quite irrelevant to the discussion). IMHO, adding additional distortion is bad, do forgive me, but this kind of sophistry is not very persuasive. I do believe it is you that is attempting to build a straw man.
Just my $.02. Truth is, I don’t care how you enjoy your music, and I would never presume to tell anyone else how to enjoy theirs. If you like eq, great. If you don’t, also great. Nothing worse than one person who thinks he has a license to tell other people they’re having fun wrong. Or have I inadvertently stumbled into the ASSR forum?