You’re can’t have one without the other.
The Chicago school promoted unfettered access to power for companies, they’re complicit in the companies using that power to influence the government to do unhealthy things like defang antitrust regulation.
To use your stupid analogy; if you take your car to the mechanic, and the mechanic tells you that your car doesn’t use oil, then it is the mechanic’s fault when your car breaks down.
Here the mechanic is the Chicago school, you are the govt, and the car is the market.