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With a conventional database, the owner can set any value to anything they like.

With a private blockchain (and smart contracts), the owner can't forge values.

For example lets say you want to fake a transfer from client A to client B. In a traditional database, the owner can do that. With a blockchain, the owner can't.

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The owner of the blockchain can of course forge values! The computational power of the network of a private blockchain is fairly easily overcome.

And every actor will know there's a double spend attack and stop accepting the chain. Unlike a public blockchain, there should never be a fork in a private blockchain. If there is a fork, you know the owner is mounting a double spend attack.

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