It depends how you define effective. Of course the consumer would prefer a free market with competition and low barriers to entry. This is the most egalitarian system, where money (and therefore power) gets distributed almost democratically.
It's a liberal democratic version of capitalism. It's the version of capitalism that works. Not perfectly, but it rises people out of poverty and is more or less egalitarian, relative to the alternatives.
Authoritarian capitalism is where you still have the large private sector except you don't have the political freedoms. Think China post 1970s, modern Russia, Singapore.
The government essentially rewards companies that support the power structure. They get privileges and a say at the table. It creates a sort of incestuous relationship between the government and large corporate entities.
The US is moving towards this system as wealth inequality and corporate influence rises (more strongly under Biden than Trump, might I add. Probably to do with pandemic). More $$$ = more power. More power, more influence within the government. Creates a cycle where it's a "buy your policy" type of democracy.
Slowly our political freedoms are being eroded. Mass surveillance, the CIA and Pentagon are now allowed to spread propaganda on US soil (they were not allowed to before early 2000s), erosion of democratic institutions through populism. For example "fake elections" and events like Jan 6th. We are starting to censor and ban outside views ("misinformation" bans from Covid, the banning of TikTok, Google & Facebook & reddit & Twitter regularly manipulate the information people receive and cooperate with the government)
Only some crazy number like 20% of people approve of Congress in this country. The democracy is falling apart and some new system is forming.
As China is opening up their private market to become more like us in terms of finance, big capital, corporate rights, etc. We are closing down our political system to become more like them in terms of the loss of political freedoms, censorship, etc.