If you are in a public building you must allow your firearm to be inspected if requested. If it is found to be loaded you must then produce a CHL. Failure to permit the inspection or produce a CHL for a loaded gun will result in your arrest. Otherwise you are not obligated to permit and inspection or produce your CHL simply because you are visibly carrying a firearm or city ordinance says they can.
The city can regulate loaded carry for non-CHL people, but they cannot heap on additional inspection regulations as these are voided by ORS.