I guess if you take a super abstract view if it, that comparison makes sense. But the whole concept is the nature of verification. It would be like requiring the majority of your team to sign every commit before it becomes part of your git tree. And to do so without any central authority.
The innovation with blockchain isn't in the abstract structure, but the decentralized verification system. A game doesn't need all of that decentralization, but it could use some of it (e.g. players verify transactions outside of the game, but use central servers for a part of the verification process).
Your git example requires authorized people. Blockchain removes that requirement. Instead of someone deciding something gets merged, everyone (or a majority, plurality, etc) decides what gets merged.