Maybe I am confused by what you are saying, but I don't understand why you keep referring to Tesla's website with respect to what the new law will require about Tesla's use of FSD. The issue under the law isn't just what Tesla may say on its website, but it also pertains to every place else where Tesla refers to full self driving ... that could be its website, what Elon tweets or says in an interview, what appears on a menu page in the car, what may be said on an investor's call or in a presentation, what someone at a dealership may say, etc.
For what its worth, I believe the California legislature is much more concerned about what Tesla and other manufacturers may do in the future as opposed to what Tesla or other manufacturers have previously done. In other words, they want to keep manufacturers from truly advertising, marketing, or referring to an L2 car as full self driving when, in reality, is driver assisted.