Two points of clarification. Whether you slowing decrease or increase temperatures, the delta T's between steady state on vs off can be quite large. Package degradation mechanisms increase significantly with lower temperatures. The second point is that by using a heater, during startup only, you can reduce the die to package delta T's. Once the die is powered, then power down the heater.
Just trying to point out the disadvantages for turning this thing off, not trying to be hostile. Most of these packages are not really evaluated for less than -25 usage/cycling.
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