(I Am Not A Lawyer / I Am Not Your Lawyer - this is just my understanding of the law and how it applies)
Your interpretation of the Penal Code relies entirely on flipping the legal burden of public carry upside down.
First, PC § 26200(c) dictates how
administrative restrictions must be documented on a license. However, a missing note on a piece of plastic does not grant immunity from an active, blanket state law. The restriction on large-capacity magazines is not an 'administrative IA restriction' that needs to be listed on your card—it is an independent criminal statute under PC § 32310. Your CCW card also doesn't explicitly state 'No fully-automatic switches' or 'No armor-piercing ammunition,' yet carrying those would still result in immediate felony arrests. A state prosecutor will charge you directly under PC § 32310 because a CCW license lacks any statutory text exempting you from magazine bans. Whether or not your specific Sheriff printed it on your card is legally irrelevant.
Regarding Penal Code § 26215, you have completely flipped the meaning of the statute.
PC § 26215(a) outlines the procedure for
the CCW holder to initiate a modification (such as adding a gun or changing an address). It is not a rule requiring an IA to print you a new card every time the state enforces a pre-existing weapons ban. An IA cannot 'authorize' you to bypass a statewide criminal statute in the first place.
Go read the CCW exemptions under the Penal Code. They provide an explicit exemption to PC § 25400 (concealed carry) and PC § 25850 (loaded carry). They provide absolutely zero exemptions to PC § 32310.
Lawfully owning a 'Freedom Week' mag at home does not give you a statutory exemption to transport and use it in a public space under the active
Duncan v. Bonta framework. I challenge you to cite a single PC section that explicitly exempts a CCW holder from PC § 32310.
Having said all this, people need to make their own decisions, but they should be based as much as possible on facts and reality. When in doubt consult a real attorney and don't take your advice from a gun forum.