the ANC mic's basically create a artificial filter and lower the output, when I added a sub to mine I was getting a lot of feedback hum. I discovered this was because of the anc mic's, so I disconnected them and not only did it eliminate the hum but it sounded better to me overall.
the active noise cancellation is designed to drown out any exterior noise so you do not hear it, this is done by creating a opposing sound thereby "canceling it out"
so if there is a sssshhh sound around you it creates hhhssss sound.
maybe if you normally listen at low volume this may sound fine but I usually have the radio jamming and there is a noticeable gain in the output with the mics offline.