Incorrect. You're confusing "enough trust to make the world go around" with "so trustworthy we're neglecting that it's bad for the world."
And I mean the latter more in terms of the brain drain than ecologically, which ironically may not get solved because of that brain drain.
Programmatic money means you can define code/program with the money itself. In a trivial case I could easily program the money (called a smart contract) to pay you $1 every day. I could put $1000 in that contract and you could have near-total confidence of that payout schedule. The code itself is a property of that money, and its execution is enforced by the same system that secures the overall ledger.