That was a good explanation by GBG. The fact that you use a two-rope system probably indicates that you have a good grasp of the situation, without necessarily being able to explain it.
Really we're talking about the difference between kinematics (the description of how a system moves) versus kinetics (determining the amount of force needed to cause the motion).
A properly designed system is kinematically predictable, i.e. it behaves as it should regardless of the force applied to it. If you pull harder on a well-designed system, you just get greater acceleration, not a different motion.
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