Ok, well I've had a few days with my headphones now and am very happy with the DT 770 Pro-80s. With the E11 attached it's very nice and the bass is fine. If I put it at EQ 1 or 2 then it's just as good as the COP in my opinion. These are far more comfortable and less hot, likely due to the velour pads. Also, I have been using the Accudio app for the phones sometimes and it's pretty good. Some EQing really allows me to tweak these until what I like.
I'm very happy with my purchase and will likely be back for more when I have funds. I'm already contemplating buying an open pair of headphones for my room and the 770s for the library. I also bought a few pieces to play these on my new TV. I'm looking forward to watching some movies with some sound instead of the TV stock speakers.
The only thing that have made me question my purchase is the DT 770 LEs (32) if they'd be better but, being new I can complain and probably wouldn't notice the difference.