People can compartmentalize. He can be completely all over the science and believe it factually as part of medicine while also believing that spouting nonsense that is unscientific is valid if he says so, as he's a doctor. His self interest can override his knowledge, in particular if it feeds his ego, as being a celebrity doctor would.
All doctors and scientists simplify their messaging when dealing with non scientists as a means to help them understand concepts they don't have a grounding in. That simplification is often factually incorrect. It's a slippery slope.
Particularly in this modern world. Our brains in general seek order and certainty, but almost everything is on a spectrum. So when scientist talk in facts and absolutes, it's easy to negate their message with edge cases or precise sticking points that they are ignoring for simplicity. Take vaccines. They have known side effects. They are deemed safe. People can still die. Cars and planes are likewise deemed safe.
Wow, well done to that antique shop owner. That's awesome. Nothing illegal. No big protest. Just hold them to account and don't help them.