Yes but you could make the same argument on the other side.
Doctors have been sued numerous times for vaccinating kids and having severe/fatal reactions to vaccines. Most notably HPV vaccine. Or infants who get so many vaccines at once that it’s too much for the body to deal with without causing problems.
I am sure that was based on legal advice they had currently been told by lawyers and they still got sued for giving vaccines.
And I have yet to find one single case of parents who have researched the “why” behind not wanting their kids vaccinated, to sue a doctor they told not to vaccinate their kid. The whole point is they don’t want the kid vaccinated. They WANT the doctor not to do anything. If the doctor vaccinates when they don’t want them to, THAT is the point where they would rightfully sue the doctor.
Not anymore. Legislation passed about ten years ago made exempt all medical professionals, providers, and vaccine makers from litigation. Instead, claims go to a special vaccine court, where an appointee decides if someone was injured. Payouts are covered by a per vaccine fee the manufacturers pay into a fund. You can read the case files and see that there are folks harmed by these things.
So, we have exempted from lawsuits by Congress the tobacco industry and vaccine makers. Suspicious at all?