I must politely suggest that there are five visible points on the items in question.
The spacing between the edge of the star(leaf) to the edge may be slightly different but at that time I don't think these guys just buzzed down to the PX to get their insignia. I don't know if these were machine made or hand made to a pattern but without the consistency of programed technology I could understand some variation in spacing or size.
The illustration in the civil war site indicates a much smaller star than in the picture and the leaf tapers from a rounded base to a rounded point away from the ends.