Another thing is that your tires are a part of your suspension as well. If your stiff coilover severely overpowers your tires sidewall stiffness, you could get some odd handling. The whole package needs to be tuned to work together. The relative stickyness of your tires also comes into play. Talking about this any deeper, I think, is outside of the concern of a street driving enthusiast. You shouldn't be going fast enough on any road to have other stuff come into play.
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