Your ears will sit up and take notice of the music more with the W1000. Sometimes though, with the characteristics of the W1000 this needn't be an altogether totally pleasant experience. I think it's not much better than the HD600... but not much inferior either. The HD600 has some sonic advantages and is probably an easier phone to listen to, but the W1000 has the edge on perceived detail, wear comfort and source versatility. In terms of frequency response, if you imagine the response of the HD600 as a block, it's as though you shifted it towards the right a bit. If you like your music served up precise and cold, then the W1000 is for you. In my view the way it sounds is about as far as you can get away from the 'woody' character that you expect.
In a further edit: Once you get used to the phone, it's quite likely that you start to think "why does bangraman say it's cool?". It is extremely well defined and once again, when you get used to the sound there's no sense of lack of bass. I wore it continuously for a while whereupon I lost the sense that it was a cool phone. When I then switched to the other phones I had at the time (ATH-A900, ATH-A1000, ATH-W2002, MDR-CD3000) and was overwhelmed by the comparative fatness of the sound. It's like the Etymotic earphones that way. It has everything, it just throws things at you in a slightly antiseptic way in comparison to other phones.