https://en.wikipedia.org/wiki/List_of_worker_cooperatives
Self-directed businesses are totally viable - until they need funding. Then any approach to possible investors is likely to be met with "Ha ha ha ha no."
We simply don't have a culture that supports non-hierarchical businesses. There are no role models in the media, hardly anyone has personal experience of a working in a co-op, and most of the population doesn't even know what a worker co-op is.
Wall St and VCs are implacably hostile to any business model that gives workers economic power.
Given those challenges, the fact that successes still exist suggest the idea has unexplored potential.
Various models of funding are predicated on taking equity, either directly in exchange for cash or as collateral for a loan. The problem is that as soon as you issue equity to investors, the business isn't worker-owned (and, crucially, worker controlled) anymore, it's (at least partially) investor owned.
https://www.forbes.com/sites/briansolomon/2013/07/24/the-wal...
It's more a right mix between worker's ideas and worker-approved management, though, instead of purely worker-directed. Same happened with Ricardo Semler's company that was even more radical.
I guess there needs to be some degree of hierarchy, just like with state elections, to constrict opinions and epitomise the main idea so there are not too many cooks undoing each other's work.
I think that's it. There's nothing stopping us from making such corps. I'm sure it must have been tried multiple times in history. The fact that no successful company like this exists probably means the concept is unviable.
As to why, that's anyone's guess. Maybe any org without a single-minded purpose is doomed to fail. Maybe if our arms and legs had a say in what we do, we wouldn't survive. Maybe that's the reason millions of years of evolution has turned out a body with a single organ controlling everything else.