PK,
They are not totally different. They are totally related. Static tests and stressors are related to dynamic tests and stressors. When we torque the bearing cap bolts on the crank, the crank is static. But we know that those torque settings will provide the correct amount of "holding power" when the crank is flinging around dynamically. So is the same with the bolts that hold your prop to the flange.
A really good slide rule engineer would probably model that moving prop as just a prop that is stationary for a micro second, then is in a new stationary position a micro second later. And the two positions and stressors in those positions are interrelated and can be recreated in a much more static modulus test. Harmonic stresses are much harder to test for, and tend to be empirical (tho a nod to computers must be made these days).
That said, pulling on your prop is far more akin to the static testing, for which the entire assembly (ie the whole airplane) has been modeled and tested.
But I understand what you are trying to say, and it is important to approach the subject cautiously and "safety-wise", as you are. Some people use caution where its not necessary, but that's a whole lot better than throwing caution to the wind instead.
Similarly, I hope you change your oil more often than 50hrs and fly every two weeks to keep the water off your cylinder walls. But its not required! haha
M.