If you look at the history of the popularity of vitamins, orange juice, the promotion of carbohydrates and sugars over fats and proteins etc.
Not a problem with Science per se.
The underlying problem is an insufficient diversity in sources of funding for science. Scientists are people, and most just want as safe a career as science allows, which isn't very safe at all. Rocking the boat is, for them, a bad idea.
It's also the reason why I was, at first blush, rather suspicious when the Gardasil vaccine came out a few years ago. It was heavily, and extremely aggressively, marketed. And I know that vaccines don't tend to be moneymakers in the way that blockbuster drugs are, but it definitely raised my eyebrows that Gardasil was being marketed so aggressively, because of the reputation of Big Pharma, where money often comes before ethics and due diligence.
If we cut government spending on science, then we are more dependent on private sources and their interests. Public funding is decided through a democratic process in the public's interest; private funders have their own interests and motivations, which even if altruistic might not be the best use of resources.