If all your hypotheticals revolve around cleaning up the mess of flagrantly incompetent coworkers/leadership I'm going to get the impression that that's what I'm expected to do all the time. You could get the same information with different hypotheticals, so there's no point in making your company sound like a horrible place to work.
Happily, we would come to a mutual decision that I should produce profits for someone else. It sounds like you're one of those managers who wants supplicants, not applicants. Good luck with that.
It sounds like you're one of those managers who wants supplicants, not applicants.
Absolutely not. I want human beings with whom I can have a good relationship with, based in communication. I definitely don't want to hire a robot who is making important assumptions based on questionable (and totally wrong) heuristics, and Not bothering to ask simple questions.
So yeah, someone applying a weird algorithm to the questions I'm asking them isn't going to be a good fit.
It's like you're aware of the issue (sales doesn't give two shits about the capacity of the engineering team) but you want someone that is good at wasting a lot of time efficiently instead of improving communication with the sales team.