In my experience (Type 1 partner), it's repeated and severe lows, say like 4 or 5 in a week, that will give you hypo-unawareness. It's definitely possible to experience that and still have a high A1C, but I don't see it causing hypo-unawareness. I'd highly recommend a pump to get more control.
That is simply misinformation. The problem is you can not extrapolate your personal experience out to the rest of the population. I'm virtually hypo-unaware and I have low blood sugars maybe 2 or 3 times in a month.