Some paper and a pen might solve your business problem but you shouldn't extrapolate that all business cases would be met with those capabilities.
I do think there is plenty of room for private blockchains, but the use cases will be specific to the needs and constraints of the stakeholders.
There's a difference between "not needed" in the sense that I don't need a calculator when I have an abacus, and "not needed" in the sense that I don't need an abacus when I have a calculator.
> the use cases will be specific to the needs and constraints of the stakeholders
Yes, and people are asking for suggestions of what those use cases might be. If you can't think of any, that suggests we might be looking at an abacus, not a calculator.
- One case would be when a corporation wants to have 2500 TPS with finality in 3 seconds using the current ethereum software, unchanged. (scalability)
- One case would be when a large-enough-corporation needs to share master data and reference data of business critical assets through different subsidiaries and third parties. (privacy)
- Remember intranets? Sometimes decision makers simply want a watered down version of a great thing. (stability, control)
If you care to include commercial DLT products, then the use cases will be different again.
What's the killer app? Sorry to be annoying but I honestly don't see why an CIO would choose a blockchain over more traditional options for anything at all. I've been following Bitcoin and ETH for many years and I've been thinking about this a LOT and I just don't see it.
I'd be happy to discuss further in private (chat/skype), but my "professional muscle memory" tells me that the only sane way of looking at a piece of technology is through its capabilities. When CIOs look for capabilities that can be met by blockchain then finding a business case becomes straightforward, otherwise it will be shoehorning as you say.