So: Your one example of a CCW isn't actually a CCW?
A CCW lets you Carry a Concealed Weapon and has nothing to do with the storing of loaded firearms in vehicles. Though I suppose it would apply if you are in said vehicle and then 'storing' would become 'carrying'.
--edit--
But who knows about California in particular because their firearm laws are wacky. Back when I lived there the rule was "two steps" away from having a loaded firearm in your vehicle, ie: take the gun out of a case then load the magazine (IIRC of course, that was almost 20 years ago).
https://www.personaldefenseworld.com/2017/04/armed-citizen-p...