They're against it on a state level as well. See: The NRA meddling in California: https://www.nraila.org/legal-legislation/state-legislation/california/2019/april-2020-litigation-report/
"Although litigation plays an extremely important role in the fight for the right to keep and bear arms, NRA and CRPA are heavily involved in many other tremendous and equally important endeavors throughout California and across the nation." -snip
The one time the NRA supported gun restrictions like "open & carry" in California was in the late 60's after the Black Panthers marched with guns. See: The Mulford Act: https://en.wikipedia.org/wiki/Mulford_Act
The Mulford Act was a 1967 California bill that repealed a law allowing public carrying of loaded firearms. Named after Republican assemblyman Don Mulford, and signed into law by governor of California Ronald Reagan, the bill was crafted with the goal of disarming members of the Black Panther Party who were lawfully conducting armed patrols of Oakland neighborhoods, -snip