I’ve skimmed the responses, but have not read in detail. I will simply share my own thoughts based upon my own experience. I was diagnosed with LADA at age 46. My A1C was 9.8 and my fasting BG was 260. I needed no basal for the first 18 months and my insulin to carb ratio was 1 unit of insulin for about 25 carbs. Seven years later, I take 8 units basal by pump and my insulin to carb ratio averages 1 unit for 10 carbs. However, I continue to be very insulin sensitive and one unit can drop my BG 100 points over the course of a few hours. If my BG were reacting to my body’s own insulin production the way yours is, trying to take exogenous insulin would be a complete nightmare. Your own body is currently regulating your BG. If you inject insulin, I think you would likely end up feeding the insulin – i.e., you’d have to keep eating carbs to keep your blood sugar from tanking.
That being said, I’m not a doctor, I don’t have your medical records, etc., so these are just my thoughts.