Yes. This I have been wondering also. There are plenty of stories of private blockchains. I do not get the point. What are they looking for?

These people are willing to have their own private centralized blockchain. Well. Anyone can produce an own blockchain. That is no problem. So they can go for it. No need to wait. But. Blockchain exists because it is a way to maintain a decentralized ledger. Blockchain is a decentralized ledger.

So if they want to have a private centralized blockchain to maintain a ledger, where they need the blockchain? It is much more practical to use a simple MySQL database to maintain a private centralized ledger.