Perhaps your answer is that "assembled, on the car, you will have 3-3/4 turns" (stop to stop, with everything installed).
IMHO, the gear box you have sounds to be correct to me, function-wise anyways, since you mentioned it is a replacement.
I have not checked lately but I believe mine was 4 turns too, unfortunately, mine was updated to a later, 1-1/16" inch sector so I do not have my original anymore, just the original tag.