I don't think that is established. Distributed and permissionless systems don't need to handle the overhead of access control. They do have the computational overhead of massive redundancy, but that can be significantly reduced with zk-(SNARK/STARK) cryptography that provides succinct zero-knowledge proofs of validity.

With zk-proofs, the redundancy of a blockchain can be significantly reduced without comprimising security. What redundancy remains provides the high process integrity that critical applications like financial transactions require.