I strongly believe that a currency system in decentralized space should be publicly owned, meaning it shouldn't be owned by a single person or centralized entity, hence shouldn't be privately owned. Private ownership of such delicate/important collective resource is an abomination in the world of decentralization. It's going to lead to abuses that are contrary to the Bitcoin Ideals/principles, unless the principles is coded in the rules and can never be changed without users participation/consensus, and this somewhat makes it publicly owned if your users determine the organization future direction, plus running nodes, helping to secure the network and possibly owning crypto assets in the organization.
Besides, money/currency is too important to be privately owned. That sort of private ownership will attract traditional regulators, if you decide not to attract them, then you need to keep things decentralized, transparent, public, based on the good bockchain principles, based on fair/good rule, consensus-driven, etc.

I think you can still be a founder of a decentralized and public organization. Things here should be unique