Technicallythe Deputywas correct. LOC with a CCW (PC 12050 License to Carry) would exempt the OCers from all the loaded firearm prohibitions in CA IF the issuing agency has not prohibited OC on the license.
I agree with your interpretation...I never really realized it before myself...
12031(b)(6) expemts CCW holders from violating 12031(a)(1)
12031. (a) (1) A person is guilty of carrying a loaded firearm when
he or she carries a loaded firearm on his or her person or in a
vehicle while in any public place or on any public street in an
incorporated city or in any public place or on any public street in a
prohibited area of unincorporated territory.
(b) Subdivision (a) shall not apply to any of the following:
(6) The carrying of pistols, revolvers, or other firearms capable
of being concealed upon the person by persons who are authorized to
carry those weapons pursuant to Article 3 (commencing with Section
12050) of Chapter 1 of Title 2 of Part 4.