How does it make sense to treat someone with an insulin intolerance with more insulin
Only when they are making less insulin than normal. It is only my opinion but most UK GPs would not regularly send a type II for a c-peptide test to see how their pancreas is doing or even an insulin resistance test which I have only recently had last January. I actually had a c-peptide and IR test done privately.
When I first went low carb, with my GP's reluctant consent, I was taking Metformin, Gliclazide and Januvia (Sitagliptin) and the GP was talking about insulin. I gradually threw away the Gliclazide, Januvia and eventually Atorvastatin as well, certainly within 2 weeks of starting. My HbA1c were fine for three years, but just a word of warning. My body played a dirty trick on me, it started to convert something else to glucose and my BG was all over the place.
I straightened things out with a Newcastle approach, VLC, low carb (<40gms a day), low protein, for 6 weeks then a rest, now back at it and I think at some point I will have to get to a compromise. I'm not losing weight at the rate I would expect (BMR is 2300 cals per day + % for exercise, 1800 - nothing, 1500 - nothing, 1200 - nothing, 1000 to 1200 low carb - lost, 600 to 800 a la Newcastle - lost a bit more.