The "bonus," neglecting sine error, is the difference between the UAME size and the MMC size.
Were one end made at MMC, perfect in form, and the other end at LMC, then the UAME would only capture the MMC end and there would be no way to report the gap at the LMC end, but the LMC end would not be allowed to exit the projection of the UAME of the MMC end.