This goes back a few years, but it was after Baca took office, so I guess it applies. I have a family member that obtained a CCW in Los Angeles, although it is no longer valid. At the time, he had a security guard card. He went and applied for the CCW and got approved without any further training required. All he did was show them his guard card, tell them that he got a new job transporting and guarding for a jewelry company. The remarkable thing was that they apparently didn't even bother to do the background check and find out if it was true.
I don't know if that story helps anything, but it does demonstrate how sad the whole CCW process in L.A. is.