My previous stance had been that these people no longer had diabetes. I have changed my stance though. After much thought, research, and experience with those who have type 2 diabetes, I think once you have hit the fasting BG of 120 or higher point, you have diabetes for life. The thing is, you may be controlling your diabetes by keeping your weight down or by eating less carbs, but if you go back to your prior weight or eating habits, your blood glucose will go back up again.
This is useful information too. It is important that those health care professionals that you come in contact with know that you have had a problem with high blood glucose in the past and that you are controlling it with whatever methods you are using. For one thing, when your blood glucose was out of control, you could have developed the beginning stages of complications that your doctor will be able to diagnose more easily with this information. Also, if you are admitted to a hospital (even for something totally unrelated like a broken leg), you will want to make sure that those taking care of you understand how important it is to maintain your chosen diet.
Having said all that, I do think that is it is possible for most type 2 diabetics to control their blood glucose through a carefully chosen diet and exercise alone. I also think that with weight loss their symptoms might diminish to the point that they don't have to worry so much about the level of carbs that they are eating. That doesn't mean that you don't have diabetes anymore. It just means that you are successful at controlling it through keeping your weight down.