Wanted to close the loop on this with a few tips for anyone else that needs to replace the Base Assembly.
1. Confirmed replacing fixed my issue!
2. My neutral button to rev the engine was not in fact broken. Because the unit thought the boat was already in gear - the button input is ignored.
3. As part of install, once the unit is installed and connected, leave the side panel loose, and reconnect the handle. This allows you to access the two recessed Allen head bolts on the under side of the unit to adjust the play in the throttle while “clicked” into neutral - the bolt closest to the faceplate, the farther bolt adjusts the friction/stiffness of moving the throttle.
Getting this correct is critical as my replacement from Nautique parts had way too much play/slop in the throttle once clicked into the neutral position - enough where if the handle was off from top dead center, it’s enough to trip the neutral safety switch!
If you have a 200 and you get a delayed rolling start when you fire it up - I suspect you have too much play in there and you are subconsciously moving the throttle to allow it to start.
4. To remove the base assembly, pull the top cup holder and the padded side panel, but leave the arm rest pad on the top, removing it won’t help as it’s solid fiberglass under it. After the padded side panel is off it will expose 6 screws, take them out, and there is a bolt on the bottom as well. To remove the handle - pop the plastic cover off the center to expose the Allen head bolt holding it in place. 4 bolts hold the unit in place.
Pretty straightforward once you know how it’s all put together,