Practically anyone already wanting to work at such a place would care to do it with the proper resources. Imagine if you could easily get a government grant to start such a co-op...
We could turn the government into a giant VC. I'm not bullish on the results.
Of course, the government could subsidize co-ops to the degree that financial incentives of starting a co-op outweigh the financial incentives from starting a traditional business, and maybe they should do that, but it's not how our curent market is structured.
Speaking from personal experience, as a founder who does not come from wealth the biggest reasons not to pivot to a co-op are that you're giving up control over something you created, you have a lot of money caught up in it that could have instead gone towards your personal life and that someone you hired as an employee is not necessarily interested in becoming a co-owner (e.g. if your country has workers rights they might be losing access to certain guarantees and benefits by doing so).
Your wording is also needlessly abrasive. The government subsidies a large part of the economy like agriculture and fossil fuels (this is true in Germany and also seems to be the case in the US). Calling subsidies "free government money" suggests this is unheard of and unrealistic. If we want to go full utopia, the government could not simply subsidize co-ops, it could mandate them, e.g. by enacting a law that requires non-publicly traded businesses above a certain size to be worker-owned (with all liabilities to the founders being converted to standard loans) and prohibiting natural persons from holding more than a given percentage of any publicly traded company to shut down the potential loophole of just going public. It's the government. It's what allows corporations to exist so it could also restrict them.
Corporations act somewhat rationally in aggregate only because the people in charge of them are bound to do so by law. And even this breaks down when the corporation is directly run by one person who also owns it.
"Market participants" is not what we're talking about. "Market participants" includes corporations and other forms of organizations that impose strict controls on their own behavior. We're talking about humans. And humans are very irrational. They're just also very good at rationalizing their irrational behavior and prefer doing things they can rationalize.