I didn’t say you agreed with the plaintiff’s speech, I said you agreed with the plaintiffs. Namely, that the law should be struck down.
By arguing that the law ought to be struck down, you are arguing the merits despite your protest earlier. In which case, there are plenty of restrictions on commercial speech that are in keeping with the First Amendment. For example, Elon Musk was sanctioned because of his speech regarding Tesla stock.
The First Amendment is not some get-out-of-jail card that allows commercial entities to say whatever they want, particularly if they are being deceptive. And strict scrutiny does not apply to commercial speech. That’s why there is an entire federal agency, the FTC, whose mission includes regulation of commercial speech.
There are even more restrictions on speech when health care is involved. If your doctor posts all your medical records to their blog, the First Amendment won’t protect them. If you sell a home remedy that you claim will cure cancer, the First Amendment won’t protect you. If someone lies about being a doctor and you consent to a physical exam on that basis, the First Amendment won’t protect them.
Maybe you think the First Amendment allows these particular plaintiffs to deceive potential clients about health care. Well, that’s your opinion. But plenty of legal scholars - and historical precedent - argue otherwise.