Yes it should!
It was an obvious synonym, so I went ahead and merged them. You should only see ceiling-fan from now on.
If we get some ceiling fan questions in the future with those tags, and anyone wants to help with the cleanup, remember to do a few at a time so that the front page doesn't get flooded with edits, and fix all the problems with the post (typos, formatting, etc.)
For what it's worth, I'm not a huge fan of the fans tag either; I'd be in favor of more specific tags for the type of fan: exhaust-fan, duct-fan, and so on. But that's a
story meta question for another day...