Fred's prompt suggests that participants in the peer economy may not care about ownership as much as governance. I am not even sure they even want to be actively involved in governance - that could turn out to be a lot of work. To quote Oscar Wilde " the trouble with socialism is that it takes up too many evenings".
Most peers might be perfectly happy to have someone else own and run a platform as long as they felt respected, valued, empowered and fairly compensated. If the network effects that create defensibility in the first generation peer economy companies turn out not to be forever, perhaps peer network platforms will naturally begin to return more value and autonomy to the creators and consumers who use the platform.
Eventually market forces may lead to something like a distributed autonomous corporation - an economic and governance structure that is fair by design and is resilient in preserving that fairness in the face of external and internal change.