You deleted your other response after I had already written a long response, so I'm going to reply here instead.
I do not believe it is a valuable use of my time to write, nor is it a valuable use of your time to read an argument in favor of the concept of a representative democracy, which is ultimately what an answer to "Why is the government in the business of disapproving prices in the first place?" would entail. The morals in play are these:
1. Do we consider the supposed "right" of a corporation to discriminate on the basis of race in pricing to supersede the right of a driver to affordable insurance?
2. Does a government have the right to require people to buy insurance?
3. Is the action of the "free market" in correcting unfair price discrimination so robust that government intervention is not only unnecessary, but counter-productive?
4. Is collectively subsidizing bad risks something that should be done explicitly (through government subsidies taken from taxation) or implicitly (through pricing that forces the cheapest insureds to pay a little more and the most expensive insureds to pay a little less)?
Answering these questions is an enormous waste of time if you're a libertarian or an anarchist. Asking a rhetorical question and expecting to get a moral justification for why "a government does a thing" is arguing in bad faith if you don't straight up say "Why is the government in the business of rejecting prices? Also, I don't think the government should reject prices because the free market will figure it out. I am not going to change my mind on this."
My reply:
1. Entirely irrelevant. Corporations have no rights. Neither does anyone have a right to cheap services. It may be a good public policy goal for certain services to be more affordable than the market clearing price - I believe this should be addressed via subsidies absent a strong market failure argument.
2. I already agreed with this. Although I wouldn't frame any of this as a "right", the question is if it's a good idea for the government to do so. The government has a "right" to pay people to dig ditches and then refill them, but it would be a bad idea.
3. The burden of proof should be on the person arguing for additional regulations. I reject the attempt to shift the burden of proof. I'm asking for the case for regulation; "you can't conclusively prove that it's harmful" is not a positive case for regulation.
4. This is a legitimate question. You've made no arguments on this question so far, but I will reply to any arguments you may make on this issue in good faith. My prior is that explicit subsidies are likelier to be more efficient.
I'm not a libertarian or an anarchist. I'm just skeptical of government action and expect strong justifications for regulations. It's clear that many regulations are harmful and that some are beneficial, and it's also clear that many lawmakers or regulators have not thought all that deeply about what the best system of regulation is. Being skeptical and expecting justification before something like price controls is hardly bad faith.
Finally, "I think this particular thing the government does is harmful" is a very different claim than "I don't believe in representative democracy". Let's stipulate that representative democracy is better than any realistic alternative. That still doesn't tell us whether any particular action is good.
P.S. I tend to favor regulations that involve higher transparency, as opposed to banning actions completely, as there are strong economic benefits to information. I also like pigovian taxes on negative externalities. Don't assume that everyone you meet is the most extreme strawman that shares those views.