You cannot remove the burden to think for oneself from people. Fining people who give wrong advice sets a really dangerous precedent. What is wrong? Will we start fining climate change deniers? What about fining people who believe that certain antidepressants are dangerous? Etc.
EDIT: I wanna add to this that if you make things government-mandated and force it on people, you only give the conspiracy theorists more reason to be suspicious.