See, that's why I disagreed with @psrivats calling me an expert. You're correct, of course. Even if the travel is minute, the amount of force going into the FC will cause an equal and opposite reaction in the main swaybar.
Let's take my existing Antirock in its middle setting to continue piecing this together. If there is anything to this idea, adding the FC would allow the initial movement to be as soft as (or softer than it) currently is. Then the later movement would be stiffer than it currently is. However, the overall travel would not be reduced.
I hope the repetition and rephrasing isn't too tedious. I'm still muddling through this...