Before Missouri became a "shall issue" state, I have seen Sheriffs refuse to issue "Permits to Acquire" when it was still in effect. Without the "shall issue" provision, there will be disparities from one county to the next as to who can get a permit.
But you could appeal that I'm assuming?
CT had a system where you had to get a local town permit first, and yes there were great disparities between the towns, so no, it wasn't the best system.
A thorough back ground check will reveal everything the issuing authority needed or at least that was the opinion of our legislators in Missouri. It was initially vetoed by the governor, veto over ridden then challenged in the Supreme Court before all the dust settled and it became law state law as Sheriffs in St. Louis were refusing to issue.
Others may disagree, but it has been in effect in many states for a lot of years without any issues.