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Not really sure what you asking?
You need force to move a spring, related to K of the spring.
You saying you pre-load LH with weight and the RH then feels soft? Not really possible.
I am not sure about road racing, it has lots of lefty and righty turns?, so I assume the LH and RH (front) need to match? Certainly if you load the LH side the RH side will sit higher (less sprung weight there), so maybe the geometry has to be offset (LH a tad higher) so that when the sprung weight is on the spring the two sides ride at same height?
I really have no clue, just throwing stuff out there.
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