The four bass settings are just ports. Muddy, muddier, and offensive (this coming from a guy who LOVES beyer and has DT770 as a go to can).
Again, ears vary. I do find it amazing that you class the entry level beyer over things way above its class. Especially calling them detailed or analytical. To me (and it may be just me) these cops are just the opposite. Perhaps when compared to other consumer grade cans they are better, not sure. Your comparisons above are big calls though.
You must have miss-read my text. I wrote specifically that they are not super detailed or analytical and more suited for an average listener than an audiophile.
They are for the people who like the sound of a M50 and could trade slightly less detail for more smoothness and who dislike the sound of a K550 for being to thin ,canny spiky and boring.
The K167 where a technically better headphone but had a slightly unnatural treble and a sound not really suited for modern badly recorded music and low bitrate. With my binaural "audiophile" music the K167 where pretty good.
I feel the COP is the sound the Beats should have had.