Welcome to the forum
@londonpob
Firstly I want to congratulate on your impressive reduction of your HbA1c and your weight loss.
The hba1c test measures how much glucose has stuck to your red blood cells. The life span of red blood cells is around 12 weeks. So it's looked upon as a sort of average of what your glucose levels have been over that 12 weeks. When you had the hba1c result of 100, that would have reflected the amount of carbs in your diet in the preceding 12 weeks, before you altered your diet and started your testing regime.
Obviously the more glucose stuck to the cells, the higher your blood sugar levels have been over the lifetime of the cells. But it's not really an average, its not actually measuring your sugar level, just how much got stuck sometime in the last 12 weeks.
How long do your blood cells live? The average 12 weeks, maybe yours hang around for 13/14 or perhaps they turn their toes up after 10 weeks. It's a useful tool for Dr's to diagnose and to see if we are improving or getting worse, but it's definitely not a reliable average.
On the other hand the finger prick test is actually measuring your sugar levels in real time, so an average worked out using the results from your meter are a real average. The more finger prick tests you do, the more accurate that average will be.