There are different types of sweeteners.
As a very rough guide, there are very chemically artificial ones, which are supposed not to impact blood glucose at all.
I know very little about those, because I find they give me headaches and keep me awake.
These are things like Candarel, and those tiny little tablets
Then there are the polyols and wood alcohols (just check the ingredients list to identify them)
They are often used in 'diabetic choc' and 'diabetic, or sugarfree mints'.
These are carbs, but they are not absorbed in the same way as sugar, or bread.
Often people don't find they impact blood glucose
But often large amounts can cause 'digestive upset'
which is quite distressing.
Then there are the 'somewhat more natural' ones.
I know more about these, because I prefer them.
Stevia (a natural plant extract, sometimes with a bitter aftertaste)
Xylitol (usually made from birch bark, the closest taste to sugar, highly poisonous to dogs, and doesn't seem to cause people as much tummy upset)
Erythritol (very expensive, not as sweet as sugar, with a softer, milder taste, and since it is unrecognised by the human gut, it is incredibly rare to get an upset tum from it)
So - several of the above have 'carbs' in them, but not all of them impact bg.
Unfortunately, we all need to sample them and find out what our personal reaction is to them... and in what quatities we tolerate them.