every endocrinologist i've ever had says you need at least some carbohydrates. that said, they're usually not nutritionists, and there's historically been so little focus on food as medicine within western medicine that i think we "officially" know as much about that as we do about diabetes at all (which is a lot, but still surprisingly little).
there are plenty of good reasons we eat carbs (especially complex carbs, plus trying to avoid processed stuff); as a diabetic you just have to prepare ahead of time. it sucks, but honestly, as a 20+ year T1D, not eating cake sucks more than having to plan to eat cake :)