That doesn't need to be a distributed ledger, that can just be a database. The only use cases for DLT/Blockchains is where it is undesirable to have a central authority.
Games will always have a central authority - the devs - so there's just no point. Nothing is gained by decentralizing trust, and quite a lot - especially speed and simplicity - must be sacrificed.
Aatube
NotTheOnlyGamer
Burrbromb