I've skinned more than a couple dozen bows over the years. Never noticed any change in performance. But in truth, I never chronoed them. That being said...
A.S. To notice a 1fps change, you would have to use a shooting machine, a very accurate chrono and keep all other things constant, which is difficult to do. More likely caused by minor form differences.
Even a change in temperature/humidity acting on the limb cores or weight of a wood arrow, a few grains in arrow weight or length if you used a similar but not the same arrow, a minor change in brace height if the string untwisted or twisted a little while off the bow, etc., can change things that much. In short, any of a number of things can lead to a measurement variation of 1 fps.