Banks and brokerages very often use software written 40 years ago because it's so much trouble to get correct.
cryptocurrencies are the ledger software, API, and data store layer -- and you do need trust between peers because the JPMorgan will take actions to reverse transactions if there are problems that need fixing.
It's not magical, but it is convenient for the actual ledger actions to be mathematically proven instead of the result of accounting rules in code.
"Real money" these days is exactly that, i.e. accounting entries on a ledger, and has been for the better part of the past century or so.
> Plenty of organizations need to be able to keep track of money is between a collection of mostly-trusted peers. With cryptocurrencies they can ditch a lot of the transaction and accounting software.
What is blockchain technology if not even more complex accounting software? It has its uses, but a network of mostly trusted peers is probably not one of them.