I have no knowledge of cgms myself but many T1s and some T2s have reported low readings are faulty and used finger prick to decide what action to take.
Using carbs to treat hypos could be a precursor to another episode of hypoglycaemia.if you do find yourself in hypo levels 3.5 or below, a very low carb bite should be enough to bring you back up such as a bite of cheese or a piece of meat, check after fifteen minutes until your blood glucose levels are stabilised. Even wholegrain and fruit could be too much. Wholegrain is called a complex carb, a complex carb just slows down the spike, but it still gets there and triggers the insulin that drives you into Hypoglycaemia.