Hi,
I'm going to throw a few things into the pot - they may resonate with you... All based on my personal experience.
When on a low carb eating regime (which lowers the hba1c test result), the pancreas gets 'lazy' (because it doesnt need to be producing much insulin). Then, when we reintroduce carbs, there are a few days when blood glucose levels are all over the place, because the pancreas is waking up again, and a bit slow to respond. This can cause a few issues with oral glucose tolerance tests. Ideally, we should all eat 150g carbs minimum for several days before taking an oral glucose tolerance (2hr) test, so that the pancreas is back up to speed for it. Otherwise, the test results are likely to be a bit exaggerated, due to slow pancreas response time. So sticking to a low carb diet and not eating carbs before an OGTT test can produce some contradictory results - unless we know, and prepare for, the lazy pancreas effect.
I get ridiculous carb cravings at the drop of a hat. My symptoms of blood sugar issues disappear when I do 2 things - reduce my carbs further (the cravings only appear when my carbs are too high) and increase fat levels (that seems to stop the cravings dead
)
Since making these changes, I have started to lose weight (very slowly) without trying. After years of trying and losing and regaining the same weight over and over again. It is only 1/3 lb a week, but it is steady and effortless. NB I don't have hashimotos, but I do have PCOS, prolactinoma and obscene levels of insulin resistence. So while our situations are different, we have a messed-up-hormone common ground
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Hope some of that was of use to you.