Personally, I do not want FQ's with labels or cardboard in the center... The labels can be hard to remove if they get hot in transit, and they are always in the middle of the fabric when unfolded.
I have seen many LQS workers cutting FQ's/half yard cuts during slow times... The owners are paying them by the hour, and aren't employees supposed to have busy work during the slow times? I don't feel like I should have to pay more for these cuts.
Sometimes the difference in cost between buying a FQ and a 1/3 yd is so unproportional that I will buy the 1/3 yd and get more bang for my buck at a LQS.