This is a good question.

The problem here is that in medicine...numbers are not laws...they are guidelines and based only on "studies".

Take the new guidelines for cholesterol... they just threw out 15 years of NUMBERS! This is because for cholesterol, the evidence is mounting that statins do not really benefit many people, (statistics were "massaged" by drug companies creating a need where for most patients where this need did not exist)....so to get in before the big blow up of real facts, the "experts" who were motivated by Big Pharma ties, threw out the numbers!

There are already studies coming out now, that show that A1C does go up some with aging and to treat these people is a possibly a mistake. New studies on A1C are showing that ethnic and racial history, also plays a part.

This A1C calculator does not even go below 5.0!
https://www.accu-chek.com/us/glucose-monitoring
/a1c-calculator.html#
I plugged in 5 to this calculator and it showed average glucose of 96 daily. So your 4.4 would certainly be low. Typically the A1C cut off for treatment of elevated glucose is 7.0 today.

The little energy parts of each cell in your body, called mitochondria use glucose to keep that cell functioning and alive.
In some emergencies they can use fatty acids but glucose is the primary fuel for energy.

Your nerves as well as other cells, will start to suffer if you are hypo and if these times are frequent or long standing, your brain will suffer. There are studies coming out now showing Alzheimer's more likely when HYPOglycemia is present or there are frequent times when the brain is being starved.

http://www.ncbi.nlm.nih.gov/pmc/articles/PMC2551641/

This information by the CDC reflects the trend to elevated A1Cs....offering the comment that "why" has not been elucidated yet. As the baby boomers reach higher ages in great numbers, I think we will see the data shift further. Some researchers think this might be a trend in aging going on which is "normal", and they believe that overtreatment of this with drugs, may actually be harmful and create more health issues. But the answers are still not really available on this aspect of A1C and age.
http://www.cdc.gov/nchs/data/nhanes/A1c_webnotice.pdf

This means that in the near future as more studies are done, we are going to find that overtreatment of patients is going to be discouraged, as that may lead to MORE pathology requiring hospitalization, and health care costs, with declining daily quality of life.

Medicine is very trending and filled with fads. So nothing we discuss here, today, will likely be in place in 5 to 7 yrs IMO. If you go overboard in your attention to numbers, you may lose aspects of your life you hadn't planned on.

Sit down with a sheet of paper and note if you are losing stamina, getting colds and flu more often, needing sleep more, being really hungry between meals, feeling loss of strength, or shaky, sweating alot, or becoming more forgetful. These are signs that something is wrong.

It is possible to starve your peripheral system of fuel to work properly. If you feel cycles of more PN discomfort when hungry, and then when you eat, you feel better for a while, but then it becomes worse again, that would be a sign that you have issues going on with LOWS. Doctors are not trained in LOWs really. This is a new concept. Getting a 4 or 6 hr glucose tolerance test may reveal your lows dramatically. You may also want to get fasting insulin done too to see where you start off at.

I'd also get some liver testing to see if your liver is working right. When you are low, the liver, really works hard to convert amino acids from protein to glucose. It also stores glycogen, made from extra glucose up to a point. When the liver fails, this work becomes undone and less efficient.