The purpose of a blockchain is digital scarcity. If the application doesn't need digital scarcity, it doesn't need a blockchain.
So yes, if you exclude the use case for a blockchain, there aren't a lot of blockchain use cases left. But what have you actually accomplished by structuring the question this way?
At one time, it was extremely fashionable to say "use a blockchain for [random thing]", and much VC funding was ploughed into it. As far as I can see, it all came to naught.
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The purpose of a blockchain is digital scarcity. If the application doesn't need digital scarcity, it doesn't need a blockchain.
So yes, if you exclude the use case for a blockchain, there aren't a lot of blockchain use cases left. But what have you actually accomplished by structuring the question this way?
At one time, it was extremely fashionable to say "use a blockchain for [random thing]", and much VC funding was ploughed into it. As far as I can see, it all came to naught.