In a lot of places, the CLEO signature would be no problem and any way, the CLEO doesn't say the applicant is a nice guy, only that there is no law against him having the license.
There is NO CLEO signature. The CLEO does not do anything except receive the application copy you send him. He has absolutely NO active role unless he knows some reason why you should not have the license and calls ATF. You're getting the C&R application confused with the NFA registration procedures.