It is my understanding that at least in my state of CT....if you apply for a pistol permit and write down that you take drugs of that type.....you'll be declined at the "city" level and thus never get a state permit.
And it sticks because not enough citizen in your city & state challenges the legality of a person even having to have such permit for ownership to start with. I know several friends in my state though who have conceal carry permits and take such medications. To be honest about it I would move if my state required one for ownership and it was not overturned. I live in a rural area but if any of our leaders in East Tennessee tried such a stunt they would likely be wearing tar & feathers.
But most persons who take SSRI's for anxiety and depression probably need Xanax and not SSRI's anyway. Sad to say SSRI's are doctors first choice and offer the more serious adverse side effects. Benzo's are far more safer than SSRI's. Pharmacutical companies push SSRI's due to their very high retail value. I have yet to see a person have Serotonin Syndrome from Xanax or any Benzo as that is the antidote for it.