The trouble is that the body does not correct itself from a low bg - the response is MIA. Here is some explanation from NCBI PubMed regarding HAAF (hypoglycemia-associated autonomic failure) - it has and continues to be studied:
From an abstract in 2005 - Loss of the glucagon secretory response, a key feature of defective glucose counterregulation, is plausibly explained by insulin deficiency, specifically loss of the decrement in intraislet insulin that normally signals glucagon secretion as glucose levels fall. Reduced neurogenic symptoms, a key feature of hypoglycemia unawareness, are largely the result of reduced sympathetic neural responses to falling glucose levels. The mechanism by which hypoglycemia shifts the glycemic thresholds for sympathoadrenal activation to lower plasma glucose concentrations, the key feature of both components of HAAF, is not known. It does not appear to be the result of the release of a systemic mediator (e.g., cortisol, epinephrine) during antecedent hypoglycemia or of increased blood-to-brain glucose transport (although increased transport of alternative fuels is conceivable). It is likely the result of alterations of brain metabolism. Although there is an array of clues, the specific alteration remains to be identified. While the research focus has been largely on the hypothalamus, hypoglycemia is now known to activate widespread brain regions, including the medial prefrontal cortex. The possibility that HAAF could be the result of posthypoglycemic brain glycogen supercompensation has also been raised. Finally, there appear to be diverse causes of HAAF. In addition to recent antecedent hypoglycemia, these include exercise- and sleep-related HAAF.
And another abstract from 2011 - just the conclusion part:
Adrenergic blockade prevents the effect of hypoglycemia to reduce the plasma catecholamine responses to subsequent hypoglycemia. Thus, adrenergic activation mediates the effect of recent antecedent hypoglycemia to reduce the sympathoadrenal response to subsequent hypoglycemia, the key feature of hypoglycemia-associated autonomic failure in diabetes, in humans.