Sure, we have complex systems that we don't know how everything works (car, computer, cellphone, etc.) . However, we do expect that those systems behave deterministically in their interface to us. And when they don't, we consider them broken.
For example, why is the HP-12C still the dominant business calculator? Because using other calculators for certain financial calculations were non-deterministically wrong. The HP-12C may not have even been strictly "correct", but it was deterministic in the ways in wasn't.
Financial people didn't know or care about guard digits or numerical instability. They very much did care that their financial calculations were consistent and predictable.
The question is: Who will build the HP-12C of AI?