No, but circuit courts have long established precedence, especially in matters
Literally not in this case. Circuit courts establish binding precedence in their circuit, but not elsewhere. Out-of-circuit opinions can be used for persuasive evidence, but there is absolutely nothing that requires the 9th Circuit (which includes California) to listen to what the 5th Circuit says. Especially when the 5th Circuit is disagreeing with every other circuit to have considered the matter. [I haven't read the opinion in this case to know what it's asserting, but I do know that every opinion I did read on whether or not the government urged COVID-19 moderation qualified as unconstitutional state action concluded that the plaintiffs hadn't met their showing that it did.]