I moved the big meta-level comment thread from "Yes Requires the Possibility of No" over to here, since it seemed mostly unrelated to that top-level post. This not being on frontpage also makes it easier for people to just directly discuss the moderation and meta-level norms.
It's important to distinguish the question of whether, in your own personal decisionmaking, you should ever do things that aren't maximally epistemically good (obviously, yes); from the question of whether the discourse norms of this website should tolerate appeals to consequences (obviously, no).
It might be morally right, in some circumstances, to pass off a false mathematical proof as a true one (e.g. in a situation where it is useful to obscure some mathematical facts related to engineering weapons of mass destruction). It's still a violation of the norms of mathematics, with good reason. And it would be very wrong to argue that the norms of mathematics should change to accommodate people making this (by assumption, morally right) choice.
To summarize: you're destroying the substrate. Stop it.