I'm still not sure that this is unique to programming. Lawyers seem like the closest immediately parallel - I've seen lawyers in this same sort of "you're all asking me individually-reasonable questions but you have hidden assumptions that disagree with each other which would render the legal advice I give any one of you somewhat useless or harmful" situation in a large company.
And that seems like very much the same sort of "you're asking for a technical answer to an ill-defined problem" issue.
Medicine has its own "this is the standard playbook, but everybody is unique, and sometimes it's going to be harmful for various reasons, and a good doctor has to be able to spot and navigate that and go off-book" stuff too.
Code and medicine both have the "hardest" intersections of these areas, IMO - legal matters will ultimately get decided by people, not by machines or still-pretty-mysterious biological processes.