I haven't read an explanation of what an oil stabilizer does, and I'm wary of the term itself and any product making such a claim. Stabilize means "prevent from changing or moving", but what would the oil change to, and why?
Remember that for cold weather, if you don't need to use the car - don't, unless you can put some load into it. "Letting it warm up completely", even for an hour, leaves the oil at 100° or less, and doesn't boil out any water vapor or chemical combustion residue. Oil temperature follows horsepower, not water temperature.