If I understand the OP correctly, he got a Class B, ALP. So....he can carry anytime, but it has to be a "low capacity" gun. I've never heard of this before. It makes absolutely no sense. The chief believes he's "suitable" to carry 24/7, but he's not suitable to carry a gun that holds 10+ rounds?
LTC-Bs are intrinsically banned from carrying concealed and carrying in a motor vehicle.... even without restrictions. (It's written in the law that way. )
-Mike