It has happened at least 2 or 3 times in the past that I can remember that people have been unbanned because no one can claim the ban.
We should have a mod be able to claim the ban within a day or 2, first of all. Second of all, there shouldn't need to be a mod claiming the ban, the ban should be posted. If the person who is making the appeal doesn't provide enough or the right info, that is a different story.
If there are bans like that happening in the first place that we know about from the appeals section, it may be safe to assume that there are other bans that could be happening illegitimately that do NOT result in an appeal, so we never hear about them.
Who knows?