In my (non-human-medical) opinion, low blood sugar is on average better than high blood sugar, especially for patients who don't need to walk around unsupervised and operate heavy machinery (i.e. cats, dogs, small children). An adult Human body only has on the order of 3g of sugar circulating in its blood at any time. We can easily generate blood sugar from protein. It's much harder to eliminate high blood sugar. Even extreme overdoses of injected insulin often only result in a coma that the patients can often recover from on their own because they metabolize the insulin and generate the glucose. I'm not recommending that, of course!
Low blood sugar however, is an immediate problem, high blood sugar is a long-term problem. Getting the balance right is hard, especially for Type-1 Diabetes. In overweight Type-2 patients (like I was) usually the patient's liver is so good at generating glucose that it buffers a wider range of insulin dosages and you have more time finding the lowest sufficient dose. Insulin is bad for your health, it means too much glucose is deposited everywhere in your body, leading to all sorts of problems. But too much glucose in the blood is even worse, so...