When the pancreas does not manufacture insulin, no oxygen gets to the brain. Eating anything at all, no matter it's origin, will cause you to require insulin. Period.
Eat anything YOU want, but people who need this CAN NOT be helped by modifying their diet.
I would agree that eating can't cure it, but it can help. Eating the standard USDA/ADA diet is loaded with carbs. Reducing carbs, and increasing (healthy, grass fed) fat and protein makes the glucose easier to manage. My average BG reduced by 30%, with fewer lows, and it's easier to do.
Sometimes an article in a journal about beta cells or diabetic metabolism will have a quick overview, but it's usually fairly technical.