People are scared; plain and simple.
Fear sells pretty well.
Think about what they gain by spreading the fear?
Are you talking about the medical spreading fear of illness? Or the anti-vaxxers spreading the warnings?

Obviously big pharma doesnt have the best reputation but vaccines have been proven to not cause autism. "Researchers now link falling immunization rates to recent resurgences of vaccine-preventable diseases. In 2010, California saw 9,120 cases of whooping cough, more than any year since the whooping cough vaccine was introduced in the 1940s. Ten infants too young to be vaccinated died of whooping cough during the outbreak. The CDC warns that events like these will become more frequent and harder to control if vaccination rates continue to fall"
https://www.publichealth.org/public-awareness/understanding-vaccines/vaccine-myths-debunked/Of course conspiracy believers will not look at that evidence.