I know exactly what you're talking about... revving the engine in neutral, a few hundred RPM above idle, pressing your foot down on the throttle just a little bit more causes the RPMs to drastically increase. Or in other words, the governor stops decreasing fuel quantity as RPM increases. Since this characteristic exists under no load conditions, IE: revving the engine in neutral, it has nothing to do with your LDA. The LDA can only make a difference under max fueling condition (IE: when engine is loaded and you are briskly accelerating...)
What I believe is happening is that when the idling spring of the governor reaches a fully collapsed state, if it is set up so that the intermediate spring doesn't yet start to collapse, then there will be an RPM/load area where the governor will not be responsive to a change in RPM. Hence, engine RPMs will respond very wildly to very small changes to throttle position.
Given how many different versions (part numbers) of these pumps there are, you shouldn't expect any two to behave the same unless their part numbers match. It doesn't necessarily mean one is broken or not working right if their governor characteristics are noticeably different.