When correctness matters less than business results, then your role has passed from engineering into business. Software is somewhere in the middle. Software engineers are often informally expected to own the results without owning the profits.
Correctness in itself is not a meaningful goal. If something works well enough to meet the needs of the user, being more 'correct' doesn't necessarily provide more benefit.
It's one of the things that Engineers got pretty good at, because people died over and over.