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.