I don't have the Kawi springs yet, but expect to have them in a few days.
Yes, flatsides have accelerator pumps. Whether a flatslide bogs because it is lean or rich is going to depend in part on the setting of the accelerator pump. That was in retrospect not the best example to use for the purpose of this discussion.
Our Keihin CV carbs don't have accelerator pumps.
The question from my perspective was, as I recall it, what influence slide spring rate has on the mixture properties of a CV carb. My theory was on a CV carb a lighter spring rate than stock could theoretically have a slight, temporary transient rich effect at low RPM's as a consequence of a bounced elevated needle, if the tension was insufficient for the vacuum for a given situation. As a practical matter provided the spring has sufficient tension I don't think that it will make any difference on the road, or on the dyno.
The question in my mind is what role, if any, does slide spring rate play with respect to CV carb air/fuel mixtures, presuming at least adequate spring pressure, whatever "adequate" is for a given carb setup?