What I'm proposing is more akin to distributed democratic socialism. Our government is still democratically run. You still have independent banks (formed as credit unions) or crowdfunding to start businesses. The only difference is that once a business hires that first worker, then decisions start getting made democratically. And they continue from there. The state isn't running any of the businesses and there's no central planning arm.
To my knowledge, this has never been tried as a whole economic system. But worker cooperatives exist and are functioning just fine in the current system. Ever bought Equal Exchange chocolate? That's a worker cooperative. Heard of Mondragon? 80,000 member worker cooperative that's functioned successfully for decades across multiple verticals in Spain.
What I am proposing is that we do away with the traditional investor relationship and mandate that all businesses must be formed as democratic worker cooperatives funded either by regulated loans or some form of crowd funding.