Yes, the boat will move some even while in neutral. It shouldn’t be moving much though... When I take my Speedster out, I generally fire it up to make sure it will start, then kill the motors while I undo all of the dock lines before restarting it and idling away from the dock.
The true “neutral” point, where there is no forward motion, is usually somewhere between N and R on the lever. Unfortunately it seems as if you were to adjust the deflector buckets to where that point is correct on the shift lever, the buckets will not be fully out of the way when the lever is in the F position. At least it’s that way on my boat... It’s one of those things that you just have to be aware of and eventually it becomes second nature to start the boat and then pull the shift lever back if you want it to stay still...