The first picture is the shutoff lever for vehicles with automatic transmissions.
Even though you're only looking for an answer and not looking for advice/opinions, the advice/opinion is the cost of an answer.. WRT shimming the governor solid I have to state that I find it to be a counterproductive effort (especially if you have a full aneroid pump) that stems from the mentality that if a little is good then a lot must be even better and an infinite amount must be the absolute best... If you apply that 'logic' to any real 'good thing' (e.g. food, sleep, work, vacation, entertainment, excitement, relaxation, sensual experiences, travel, etc.........), then the absurdity of it is very clear... The real best is almost never at the extreme...
Here's your answer. There is a certain range of motion to the control collar/lever assembly. With a stock governor spring, once the control collar is moved to the end of it's range of motion, then further motion of the accelerator lever compresses the intermediate and main governor spring. If you eliminate all of the compressibility then obviously you will also limit the range of motion of the accelerator shaft/lever as a good portion of that range of motion is in compressing the springs. There's your answer, next up the reason it's a problem... If you have the range of motion of the accelerator pedal set so that it exceeds the range of motion of the accelerator lever on the pump then you will stress the accelerator cable and lever whenever you floor the pedal. Because of that, it's wise, IMO to adjust the max rpm screw (accelerator lever full pedal stop) so that it is at the same point as the where the lever is pulled to when the pedal is floored (obviously if you're shimming the governor you don't care about the actual max rpm). If that setting now makes it so the accelerator lever's range of motion is less than the range of motion of the control collar you have effectively reduced max fueling (oops). If, on the other hand, the range of motion of the accelerator lever exceeds the range of motion of the accelerator shaft (due to the shim), then you will put extreme stress on the control collar lever assembly (the pounds of force of the pressure of your foot on the pedal is multiplied by the ratio of the accelerator lever offset to the governor capsule lever offset plus the force of the spinning flyweights pushing the center piece of the governor against the control lever assembly - all of that is pushing against the control collar which is at the extent of it's travel). That can cause the control lever to bend or break fairly easily (oops). You might be able to get a non-turbo pump set up reasonably well by adjusting the max rpm screw to match the maxed position of the control collar and then adjust the slack in the cable or cable ball offset so that it coincides with the floored pedal, but the issue becomes even more difficult if you are using an aneroid equipped pump (which you are, based on the picture) because the range of motion of the control collar lever assembly varies with the motion of the boost pin in the aneroid. That variable range of motion makes it so that it's not possible to set it up right with a fully shimmed mainspring. You can only set it up to either overstress the lever assembly when off-boost or you limit the range of motion so that on-boost you end up with less fuel than you would without the shim. Doh...