Personally, I'm in favor of doing as much destigmatizing of diabetes as I can. I tend to be very open about health matters - and my reaction to diabetes was very different than my reaction to any other disease/health condition I have - because I am overweight and I know the minute I say I have diabetes I'll get the knowing once-over with the thought bubble going on: "Of course you do - you big fat lazy slob."
Your suggested headline is a step away from that, but the focus is still on causation.
It is similar to the balancing act I do about rape: "You were asking for it because you were [insert activity which usually triggers the blame game for women who are raped, such as going out late at night, wearing revealing clothing, etc]" versus "You can make choices to make it less likely that a rapist will target you as his next victim."
I don't think it is at all clear (certainly not universally) that Type 2 diabetes is caused by food consumption. Certainly, weight is a factor for many. I do know many Type 2 diabetics who are normal weight or below (forever - not just post-diagnosis) - that is likely the strain of Type 2 diabetes I have because most of the people in my family who inherited it from my maternal grandfather are skinny. I happen to the be the exception. I suspect there are many variations of Type 2, with many different causes. Even among those whose diabetes is tightly linked to weight, it isn't at all clear whether the diabetes drives the weight or vice versa.
Perhaps an even more apt comparison is you caused your alcoholism by drinking too much - as opposed to drinking too much is a symptom of your alcoholism, since there is strong evidence that alcohol consumption is a trigger (combined with a genetic predisposition), not the cause, of alcoholism.
Lowering carbohydrate intake is certainly an important component of disease management for most people with T2 diabetes - it is the "caused by" link I'm reacting to because the more stigma associated with diabetes, the less likely people who should be diagnosed and treated will be to seek help, the more likely they will be to make poor food choices (because of fear of exposing themselves).