The question Compute $ \lim\limits_{n \to \infty }\sin \sin \dots\sin n$ was recently closed (then reopened and historical-locked). I agree that, by modern standards, the question is not a good one. It is simply a problem statement question, and would rapidly be closed if it were posted today.
However, the question has proved to be quite useful to the site. It is highly upvoted, with a highly upvoted answer (for whatever upvotes are worth) and at the list of linked questions, there includes 20 other questions, most of which are duplicates. This seems to imply that the question of iterating the sine function comes up with some frequency, and that the older question has proved useful in the sense that it gives a place to direct new askers of the same question. Thus I believe that the question should be preserved for its "historical significance" to the site, as well as its continued utility.
Additionally, Martin Sleziak suggested in chat that some older low quality questions have become the target of links from offsite, and have therefore proved useful to the outside world. These questions, too, might benefit from a historical lock–they are poor questions, but useful and deserving of preservation.
I would like to suggest that we discuss a policy regarding the use of historical locks to preserve such questions. So that there is a point of view to discuss:
There are (typically quite old) questions on MSE that are of very low quality but have proved to be useful as duplicate targets or as reference material for other websites, such as Wikipedia. These questions should be preserved for their utility, but should be locked by moderators, as they are not examples of the kinds of questions that we want to see asked today.