To get the certificate, a buyer would need to be fingerprinted, take a firearms training course and undergo a national criminal background check and involuntary commitment or voluntary admission check.
Except for the commitment checks we who hold CCW permits had to jump through the same hoops.
But, considering the laws on doctor-patient privilege just how do they legally peek into that cubby box? And, if it is psychiatrists today then it can be lawyers tomorrow. Slippery slope, camel's nose, etc...