Anecdotally, I've seen a couple times that it's very easy to tag something with star-wars thinking it's a substitute for the nonexistent ffg-star-wars (see Should there be a 'Parent tag' for the FFG Star Wars games?) or other specific game tags, so it seems like there's at least one con to leaving it around.
So what are the pros?
Several questions are using it specifically to talk about the setting... but they're either world-building or game-rec questions that have been closed. I was figuring there would be questions asking about how to handle certain Star Wars-y things in an RPG context that are setting-specific but system-agnostic, but there seem to be fewer than I expected:
Droid hacking in Star Wars? The part of this question that's not better answered by scifi.se seems pretty low quality to me.
How to play a character that has an alien mindset and thought process? This is solid - the question and answer are both more specific to Star Wars than the title would suggest.
How many people does it take to steal a Star Destroyer? is a good question with an amazing answer, but better suited to sff.se - there's really nothing RPG-specific there.
Who took the Star Wars RPG license over from WotC in 2011? is a fair question, but not likely to be what someone is searching for in the tag.
The best use of this tag I can think of would be a question like How to embed a Force user (w/ metaphysical powers) into a technical party?, but that one's been closed.
Just about all the rest are rules questions so specific to particular game systems that it's tough to see how they would be useful outside the systems in question, which they're already tagged with (or should be).
What do people think?