Not vetted but if true, perhaps germane:
"In 2004, California Governor Arnold Schwarzenegger signed Assembly Bill (AB) 2683 to require older vehicles to undergo smog checks, overriding a previous exemption. The bill's intent was to improve air quality by reducing emissions from some of the most polluting vehicles on California's roads."
I think this legislative action, signed off by the Terminator, eliminated the rolling program.
For example:
https://www.latimes.com/archives/la-xpm-2004-sep-24-me-arnold24-story.html
I suspect that legislative information about AB 2683 (2004) is available on the CA legis info site.