[EForEndeavour]

Non-starchy vegetables have negligible sugar. Diabetics can eat as much as they want. http://www.diabetes.org/food-and-fitness/food/what-can-i-eat...

Starchy vegetables like potato, corn, and peas are nutritionally distinct from non-starchy veggies. But their sugar is packaged with vegetable fibre, which results in slower absorption than if you drank the same amount of sugar in liquid form on an empty stomach.

It feels a bit redundant to point out to a T1D that fruits are far higher in sugar than non-starchy veggies, which is why OP specifically mentioned fruit sources of sugar.