Your body always has some glucose metabolism going, even if you’re in ketosis, etc there’s always “sugar metabolism” - your blood glucose doesn’t drop to 0 unless you’re dead. It’s simply not a useful abstraction to link sugar consumption to diabetes as implied by the GP. And ultimately diabetes is defined as a condition of dysregulation of sugar in the blood.
In fact, these days most well cared for people with controlled diabetes don’t have sugar in the pee unless they’re taking a medication specifically to put it there.
Also if you want your mind blown and why you can’t diagnose based on etymology alone (at least not without a sense of humor) - lookup “diabetes insipidus”. Literally means “sweet pee that isn’t sweet”. The historic reason is that excessive urination is common to both.