Maybe there's just some confirmation or recency bias going on, but it feels to me that in recent months there's been a large upsurge in questions of the form "What is the song playing in Episode X of show Y at time Z?" - for example, there are plenty of recent questions including what song or name of the song, and indeed 7 of the 15 most recent questions are asking some form of song identification, of which a grand total of 1 has received an upvote, and 1 has received an answer.
It looks like there was some discussion 3 years ago (and about a year after show identification requests were disallowed from the site), but as I said they seem to be on the rise, at least as a proportion of new questions.
While song identification requests don't have quite the same problems as show identification ones, there are some reasons why I think they don't necessarily provide a lot of value:
As in show identification questions, the askers rarely do much more than ask their question and leave.
The questions are typically poor quality - the complete question is generally exactly as I described at the start, there is no evidence that the asker has done any of their own searching, and it doesn't seem like there's much follow-up done on most of them either to provide more information or to thank the people who track down an answer.
Frequently, the questions are asking about a recent episode of a currently airing show. In those cases, it's likely to be some time before the soundtrack gets released, which is the best opportunity to actually identify the tracks by name, but by that time the asker has probably forgotten they even asked about it.
Sometimes, the question has no available answer ever, because the show's soundtrack doesn't get released, or it's released without that particular piece of background music included. Sometimes, that fact is interesting in and of itself, but then there usually isn't enough information to provide any answer other than "We don't know".
Short of someone going back and trying to answer all the song identification questions that might now be answerable, is it worth revisiting the question of whether to make these kinds of questions off-topic?