Since this question has been resurrected back to the top of the feed and the existing answer doesn't fully clarify the internal operation of suspension forks, I'll try to pick up the slack.
Firstly, any good suspension system (in general) has two main components: a spring and a damper. It's a common misconception that suspension forks are just repackaged pogo sticks. (Extremely cheap forks will indeed omit the damper, but that's a edge case).
- The spring stores and releases energy in a controlled way.
- The damper dissipates energy in a controlled way.
These work together to control the suspension's movement and dissipate the energy of bumps and other road irregularities. Accordingly, your observation that
[...] suspension forks that have a pre-load knob only on one side. I believe having it on one side only is not uncommon, and the other side is often equipped with a lock-out knob.
makes sense--one leg contains only the spring (controlled by the preload knob), and the other leg contains only the damper (controlled by the lockout knob). It is not necessary to duplicate these components in each leg; there is only one spring in the fork.
Due to the large vertical spacing of the bushings in each leg (shown in the picture attached in the other answer), the friction due to this asymmetry actually isn't that bad. The uppers and lowers are designed to slide freely with minimal friction regardless of how the fork is loaded--consider that the fork needs to operate correctly even as your entire body weight is slamming down onto it when you hit a bump.
So in short:
- That assumption is incorrect, there is only one spring to preload.
- The fork is stiff enough that the one spring can smoothly control the entire assembly's movement.
- There is a significant asymmetry in force, yes, but due to the high stiffness there is negligible asymmetry in movement.