Sure, a group of experts is generally more likely to make a good decision when an objectivity good decision can be made (which is often not the case because individual preferences vary). If however, that group is able to enforce its will by violence, it will probably make worse decisions because it has no incentives to make good decisions, and corruption can give it incentives to make bad ones.

The defining characteristic of the state in this situation is undoubtably it's capacity for violence. That is what creates the entire situation. If it were not for the state's superior capacity for violence, it would not be able to enforce its decisions by violence, and everyone would be free to decided whom to trust. To describe the state as "representing the collective will and interest of the people" is simply incorrect. Even if the state represented the will of the majority, it would be wrong to equate the majority of people who live in a particular place with all the people who live in that place. Just as might doesn't make right, neither does being more numerous. In reality, the state doesn't even represent the interest of the majority of people, but only a tiny fraction of people with sufficient wealth to lobby effectively.

Even if you had a hypothetical state that only existent to enforce the will of the many on the few, such a state would probably be wrong more often than an individual because while the wisdom of the crowd can work, it can be easily undermined under conditions I think would be inevitable in such a scenario[0]. A million people who can't tell the difference between psychology and psychoanalysis won't be able to choose between electing a psychologist or a psychoanalyst, any more than they can choose between believing a psychologist or a psychoanalyst. The only difference is that under the majoritarian model, everyone is forced to accept the choice of the majority.

The situation I described happens all the time. It's the rule, not an exception. The link I posted includes several examples. The FDA has become a little better in the last few years, but it continues to kill people by refusing to allow them access to drugs and medical devices. Here is a more recent article specifically about the delay in approving the covid vaccines: https://www.theatlantic.com/ideas/archive/2021/08/fda-delays...

This is not primarily about people who diagnose themselves, although they should have the right to do that as well. It's about people who are diagnosed by a doctor who knows how to help them, but would go to prison if they tried. Often the drug has been used in other countries for years, and the company has simply not paid the FDAs exorbitant licence fees. One example from the link I posted in an earlier comment:

> Pharmacologist William Wardell concluded that the five year delay in allowing the hypnotic Nitrazepam to be used in America (after Britain’s approval) cost 3,700 lives. He believed that the FDA also cost thousands of lives by preventing the sale of the first beta‐ blocker Propranolol for three years after it was available in Europe, and another seven years before it could be used for its most useful purposes. Sam Kazman of the Competitive Enterprise Institute (CEI) figured the annual beta‐ blocker toll at 17,000. Overall, he wrote, “as many as 100,000 people may have died waiting for FDA to act.”

[0]: https://www.pnas.org/doi/pdf/10.1073/pnas.1008636108