This pseudo-libertarian confusion is largely due to the neoliberalist movement >1970s, where the government touted laissez-faire markets as the ultimate goal - with the caveat it needs a little bit of state intervention to protect all of us from the downsides of capitalism.
This was implemented quite effectively and was largely based on legitimate economics. But it has a giant flaw in implementation: the state intervention part over time becomes a tool for those with power and not for the entire representative population, from where it draws power to intervene.
For example, take economic stimulation during recessions, which are often the only time direct economic corrections happens for the average person. The goal is to increase "consumer spending" during downward market trends. Meaning the continued purchase of things they don't really need (new cars, houses, and bank loans). Revenue keeps flowing to the large organizations who would often be hit the hardest during recessions. Plus a few special organizations get direct bailouts from a central bank.
We're told in the long run this is better than a complete recession/depression and we'll recover faster. If we just hold on and keep spending, things will get back to normal and everyone in the economy benefits. But if you look at it from a higher-level, the top-end of the market is easily the biggest beneficiary of this policy, while consumers are largely still left with very little ability for upward mobility.
The same trend exists in almost all state interventions. Those who come out on top as the result of the policy are almost always those already at the top. It is neither the invisible-hand of free markets nor equal-distribution of state power at work.