On that unit, there is no feedback. The G.E. unit we were discussing was/is (Trane now) the only one that supplies feedback, and not the kind of feedback that would turn off your unit.
The definitive answer for the cause will come when the temp is below freezing at some time other than early AM.
However, there is nothing in a heatpump to freeze as long as it is not a water source unit.
Supplemental heat: because a heatpump is sized for cooling load, very few parts of the country can get by with just the heat produced by the ehatpump. The reason is two fold; first, in most areas, the delta T for cooling is 1/2 the delta T for heat. If I remember the numbers for Arizona (I designed a system for a friend who lives in Phoenix) cooling is designed for 100�OD and 75ID, and heating is designed for 20 OD and 70ID. Is that right somebody? So, you're designing for a 25� difference between indoor and outdoor in cool, but a 50� difference in heat. So, your heatpump needs some help. Interior load can handle some of it, people, lights etc. but we can't plan for that can we? So, we take the capacity of the heatpump at low temps (the other fold) subtract that capacity from the heat load, and apply supplemental heat of some sort to make up the difference. Supplemental heat can be from any source, but is usually; electric strips, gas furnace or oil burner. To expound on that second fold; the lower the outdoor temp, the less effective your heatpump is. Not less efficient, less effective. So, your unit (which I am assuming to be 4 tons) is probably about 2.5 tons at 17�F down to about 0�F.
So, if you do not have an oil storage tank, or a natural gas bill, you probably have electric strip heat.
I suspect that old unit has little to no electronics.
Did you install the Chronotherm? Or was it already there? Do you think the Chronotherm is the original stat?
Do me another favor. . .scroll through the program on that stat, and see if any of the times align with any of our anomolies. I know you have it set for HOLD TEMP, but it just seems to likely that the stat is at fault.
Rayr, I first got into HVAC in P-cola Florida in (about) 1986. The company I worked for was anti-setback stats, and I never installed or worked on one till the early 90s. So, I am fortunate to have missed that debacle.
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There are no stupid questions. . .just a lot of inquisitive idiots. 
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