I believe there are two types of "noise reduction" systems that GM is using... One is "ANC" that is actively listening to the noise in the cabin (with the exposed mics) and the other is one that is simply tied to the RPM level of the motor to reduce engine noise. Both of which pump a frequency into the cabin to reduce the noise, thus giving some folks a headache. I looked over the ATS's roof lining as well -- No exposed mics, meaning no ANC. For whatever reason, the ATS just felt right inside.
Edit: Wrench, you said it well in another post:
"What we don't know is if the "non-ANC" still have some active noise cancelling based simply on engine rpm. Bose does have technology for that, too, that simply outputs a known sound to cancel known sounds that come from the engine at certain rpms. Thus, not a full feedback noise cancelling system but a simple "open-loop" type system. GM does do this on the Terrain, so it's possible its used on all the full size, and the top trim levels get the full feedback system added on."