The first amendment doesn't apply as broadly to commercial speech as it does normal speech. There's already restrictions placed on it and a framework for deciding if further restrictions would be acceptable.
> The Central Hudson test has a threshold prong – does the speech concern lawful activity and is it non-misleading. If it meets these requirements, then there are three other prongs:
> The government must have a substantial interest.
> The regulation must directly and materially advance the government’s substantial interest.
> The regulation must be narrowly tailored.
It would seem like restricting medical ads would be within the realms of constitutionally acceptable government power.
https://firstamendment.mtsu.edu/article/central-hudson-test/
> The Central Hudson test has a threshold prong – does the speech concern lawful activity and is it non-misleading. If it meets these requirements, then there are three other prongs:
> The government must have a substantial interest.
> The regulation must directly and materially advance the government’s substantial interest.
> The regulation must be narrowly tailored.
It would seem like restricting medical ads would be within the realms of constitutionally acceptable government power.