That provision is actually a pretty standard part of the TAA boilerplate lease. I have the same provision in my lease in Austin. As several people pointed out, the key phrase is the part about "in a way that will alarm other tenants, roommates," etc. And, if you were doing something that caused alarm to somebody, then you might also have to break the state laws about brandishing, etc, before you reached that level.
Having said that, I don't advertise that I have guns in the apartment, and don't leave them lying around where just anybody and everybody can see them. To me that is only common sense and helps to keep our local burglers from knowing that I have stuff worth stealing. When I carry them from home to car, I make sure that they are in a case or range bag. By the way, I own several, but I am not going to say just how many. It is nobody else's business so long as I possess and use them lawfully.
Having said that, I don't advertise that I have guns in the apartment, and don't leave them lying around where just anybody and everybody can see them. To me that is only common sense and helps to keep our local burglers from knowing that I have stuff worth stealing. When I carry them from home to car, I make sure that they are in a case or range bag. By the way, I own several, but I am not going to say just how many. It is nobody else's business so long as I possess and use them lawfully.