To his eternal credit, Socrates does not argue very well in his defense. But this does not amount to bad faith on his part.
Edit: bad faith is additionally characterized by its intentional stance, meaning that it shouldn't be confused with a state of ego dystonicity (wherein the actor acts compulsively against their self-perceived "true" nature).
To the best of my knowledge, there is no serious interpretation of Socrates in which his recorded expressions are considered to be in bad faith. The absolute closest stretch would be arguing that the Socratic method is in some sense "faithless," which is distinct from the negative nature of bad faith.
A bad-faith heretic! Double the crimes that I initially thought. Maybe we do need to keep his dangerous ilk out of universities, he would no doubt have been harshly judged on HN at the time if they'd had HN back in the good old days.
More seriously, the academics have perfectly fine standards - to be an academic you need to have studied something deeply and make logical arguments. To speak on campus you need to be sponsored by an academic. That really is all that is needed and they're reasonably objective bars to meet. None of this "oh no he's got bad faith!" stuff that is trotted out for politics. Argue about the outcomes of policies, not the unobservable mental state of the people putting the policies.
I don't think you understand the difference in these two concepts. You can "corrupt the youth" without resorting to bad faith arguments. This quote of yours makes no sense.
I dunno, that sounds like the sort of thing that might be considered bad faith. I suppose the exact charge might not have survived translation. How do we think about heretics who corrupt people in good faith?
[0] https://en.wikipedia.org/wiki/Socrates#Trial_of_Socrates