The so-called "pump-out" effect exists and it is actually well-known among scientists with expertise in similar fields. It is even mentioned in very recent scientific literature such as "Thermomechanical Degradation of Thermal Interface Materials: Accelerated Test Development and Reliability Analysis" by Carlton et al. (DOI link:
https://doi.org/10.1115/1.4047099 ).
They even refer to a recent scientific review "Novel nanostructured thermal interface materials: a review" by Hansson et al. (DOI link:
https://doi.org/10.1080/09506608.2017.1301014 ).
So yeah, the phenomenon is well-known and also perfectly reasonable to anyone with a background in solid mechanics and thermomechanical interactions.
Also, even if i didn't take photos I just repasted my 7820HK + 1060 GTX laptop after 5 years of Kryonaut. Kryonaut was not dried out and still has a nice viscosity but was completely pumped out. I was basically running with no paste and I lowered my temps by 25-30°C by applying (horribly, since last time I applied a thermal paste was 8 years ago) a Thermalright TFX.
Actually yes since this is what fatigue damage is about. Fatigue is a cumulative damage phenomenon and while peak values are important, the number of cycles at that specific temperature amplitude is also important. If they are really reducing the cooling to reduce the operative temperature range they are most likely doing something very benificial from a structural point of view. The number of cycles caused be power ON/shut down operations is vastly inferior than the number of cycles during a single "powered ON" time window and high cycle and ultra high cycle fatigue are usually in the range of millions or billions cycles.