Ohio Sheriffs also have discretion. System seems to work pretty well here. I think it is reasonable for local law enforcement to be included to make sure someone who applies is not under suspicion for criminal undertakings even if they have not been brought up on charges yet.
the thing about discretion is that it doesnt have to be validated by such pesky things as "reasons" nor is there any reliable system to dispute the decision.
perhaps the officer under who's discretion the decision falls decides that he's just having a bad day, or perhaps the handwriting isnt neat enough, or maybe for some reason, the officer just has a "bad vibe"
an individuals "discretion" is a awfully shaky premise to rest ones rights upon.