This discussion is motivated by https://anime.stackexchange.com/questions/11561/sad-anime-about-a-poor-boy-and-his-dog.
Now, as we all know, Stack Exchange policy encourages self-answered questions. However, before we apply this policy blindly, we should be careful to consider why this policy exists. According to the help center,
If you have a question that you already know the answer to, and you would like to document that knowledge in public so that others (including yourself) can find it later, it's perfectly okay to ask and answer your own question on a Stack Exchange site.
Here is the thing: self-answered questions are great when ― and only when ― they provide useful knowledge to future readers. However, as previous discussions have already established, identification-request questions are generally not useful to future readers, since no two people will remember a given anime in the same way. As such, I am not really sure that the standard rationale for permitting immediately-self-answered questions really applies here.
Please note that I am not saying that users should not be able to self-answer an identification-request if they later find the answer to their question; this discussion is strictly about cases where the OP knows the answer at the time they ask the question. While I grant that in practice, it is not 100% possible to distinguish between these cases (OP could always pretend not to know the answer and then post it some hours later), it may be productive to discourage the asker-already-knows-the-answer questions anyway (provided that we come to the conclusion that these questions should not be allowed).
(The purpose of this post is not to impugn the asker of the question linked above, but rather merely to come to a consensus about these questions for future reference.)