That would give me a bad impression as a candidate.
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.
And then as a hiring manager I get the impression that this candidate doesn't understand hypotheticals, which is a big red flag. Happily, we will come to mutual agreement on whether you proceed.
As a candidate I by definition know practically nothing about your company and how it operates internally save for maybe some glassdoor reviews, and you're supposed to be judging how I would perform as a part of said company, same way I'm judging whether the position is worth my time or not.
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.
I wouldn't hire someone without telling them plenty about where they will work. You don't have to guess what the workplace is like by decoding my questions. You are certainly welcome to, but the obvious danger is that you will get something wrong. A mature person would just ask, and that's the type of person I would want to hire.
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.