It relies, unsurprisingly on Sorrell v. IMS Health to discuss how the State can regulate commercial speech. This quote, in particular may be of use:
But a State’s failure to persuade does not allow it to hamstring the opposition. The State may not burden the speech of others in order to tilt public debate in a preferred direction.
I’m just predicting Justice Breyer dissents on this case, should it make it to the Supreme Court.