I[ve thought about this problem and the answers, and have somewhat changed my mind on the results. First of all, keep in mind that I am severely mechanically challenged, so wrong conclusions should be forgiven!

In using leverage, it seems to me that the larger the arc at the servo end, the more pressure can be exerted at the control end, or put another way, the less force is required by the servo to get the work done. A longer lever exerts more force. By moving the control arm closer to the servo pole, it is the equivalent of moving the fulcrum point closer to the servo, and thus requiring more force by the servo to get the benefits of the leverage (have I now gone completely off the cliff here). I do agree that the servo arm whould move the entire distance for the mechanical advantage. I’m not taking exception as much as just trying to understand the principles involved. Will enjoy your comments and observations.