The statement for closing based on no work shown I believe shouldn't include the word homework. Not everyone posting a PSQ (problem statement question) is actually doing homework. When they read:
They will be inclined to defend the fact that their problem isn't homework if that is the case. If the statement just reads you are missing context or detail, there is nothing to for them to debate about in the comments since we aren't labeling their question.
I made a suggestion here showing what math does and you will see we dont label the problem as homework. Additionally, we don't have debates in the comments from the OP about their problem being homework either. This is the current close reason at MathSE:
Therefore, I suggest that the word homework be removed from the close reason. I believe we should keep the close reason for not showing work though.
To long for a comment so I just updated my post.
From my understanding of the comment chain, it appears that any question that isn't a homework question and is answerable would be allowed on the site. If this is the case, any OP who can sell the fact that the question isn't homework (if it is true or lie) would have grounds for their question to be reopened or never closed. Once individuals know that, who just want their homework done, they will just vehemently contest their problem comes from independent curiosity and viola we will be inclined to accept that and never close or reopen the question. To me, this system seems prone for easy abuse.
Closed is not a permanent state always
Let's note also that closed doesn't mean never reopened. The op can add detail and have their post reopened. I see it all the time on math. The ones who don't care or just want answer won't add detail. The ones who want to belong to the site and are new usually improve their question to fit within the norms.
Another concern could be what should happen to all older questions that dont meet this new criteria. My thoughts on that are document here:
I understand your point view Lord_Farin (but maybe not in the same manner), and I see this as double jeopardy. Older questions had to pass different standards to make it past the court of public opinion when they were first posed and the ones that are still around passed. Now, we are prescribing new standards to question that were already tried and found not guilty, i.e. no closure and delete. Some or many of OP may not be around any more so they aren't here to put down what they attempted. Also, for the really old post, I doubt the OP will even remember what their working was when they original asked it.
I noticed that quid pointed out that many of the educators are still answering the same questions (I am not calling you at here quid); there has always been a solution to that problem though, close as duplicate of an older post with acceptable answers (not necessarily accepted answers since some people don't accept them).