<Anecdata> My erstwhile insulin-dependent diabetic uncle (late onset) is off insulin and has normal blood sugars on a red meat-free, dairy-free, low-carb diet.
No (OK, little) meat, no dairy, low carbs. Isn't that called just not eating?
Avocado, eggs, nuts and mackerel, over and over and over again?
Only slightly tongue-in-cheek. Whatever works for an individual is the right choice for them - we are likely to have different dietary "sweet spots" in the same way as we have different hair colours. And good diabetic control is almost certainly a bigger health benefit to your uncle than any association between dietary animal protein and longer-term health risks.
For me, the LCHF diet is simply a way of eating say 2000 kCal in a single sitting, feeling utterly stuffed and slightly nauseous for about four hours, followed by feeling ravenous again. n=1, natch.