At least one commercial company I've heard of has a sophisticated permissioning model, so that the owner of the chain can publish it and have its causal history

At least one commercial company I've heard of has a sophisticated permissioning model, so that the owner of the chain can publish it and have its causal history and/or integrity be validated by all participants, but with specific permission scopes so that subscribes to the blockchain can only see inside of transactions they have permissions for.