Yes, if I don't UOC, I will be performing an empty holster protest in its place.
However, from reading the applicable penal codes (at least the ones given in the thread link provided), there seems to be nothing to suggest that UOC is any more restricted at the state capital than anywhere else. Does anyone know otherwise?
Yes it is. From the previous link comes this from the penal code:
171e. A firearm shall be deemed loaded for the purposes of Sections
171c and 171d whenever both the firearm and unexpended ammunition
capable of being discharged from such firearm are in the immediate
possession of the same person.
In order to determine whether or not a firearm is loaded for the
purpose of enforcing Section 171c or 171d, peace officers are
authorized to examine any firearm carried by anyone on his person or
in a vehicle while in any place or on the grounds of any place in or
on which the possession of a loaded firearm is prohibited by Section
171c or 171d. Refusal to allow a peace officer to inspect a firearm
pursuant to the provisions of this section constitutes probable cause
for arrest for violation of Section 171c or 171d.
IMO that means that you can have either the firearm or the ammo on your person, but not both. INAL.