utility of permissionless blockchains Is there actually any purpose of a 'permissionless blockchain' other than turning the security model into an x-threshold

utility of permissionless blockchains Is there actually any purpose of a 'permissionless blockchain' other than turning the security model into an x-threshold of capital needed to compromise the system type threat model? So far all iterations of permissionless blockchains have been subject to take over from any modestly funded entity.