I could be way off here compared to the "SE Family" ethos, but I think most font-identification questions are low-quality on this particular site.
This is why I don't like the font-id questions:
The answers never gain value as a collection
Askers inherently don't know what font they're trying to identify. As such, they can't look at old font-identification answers to see if their font is the same. I can imagine a scenario where they use exactly the same image that somebody else used to ask an identification question, but this seems unlikely.
Answers don't show up as a useful reference in search results
As Philip mentioned, images are required for font identification - but they don't show up in search results. Even if they did, they'd likely be little help due to the previous bullet point.
Automated systems are fairly good but often ignored
Many of the accepted answers include a comment about using WhatTheFont or Identifont. WhatTheFont is also referenced in the tag wiki.
Answers are not necessarily definitive
When even the highest-rep'd (and thus arguably "the expertest") guy on the site isn't necessarily right, it feels like the answers are just dice-rolls.
But here are reasons why I wouldn't suggest banning them outright:
There really aren't that many
All the above points aside, in researching this little screed I found that there are really only ~30 font-identification questions on the site. These questions feel omnipresent but really only account for a small percentage of questions asked.
They have a high accept rate
Even though they don't leave much of a legacy, they almost always help the person involved.
Most don't get upvoted
Sorting by votes gets rid of most of them. The ones that remain are more about how to identify fonts, not just crowdsourcing the act of identification.
I started this answer thinking about how lame the font-id questions are but, honestly, I don't have a solid reason to make them off-topic. I would be in favor of expanding the tag wiki to more firmly encourage checking the automated identification sites before posting a question.
In short, it seems to me that the system is working properly and the font-id questions are just an indicator that the site isn't getting enough good questions.