Anakin, famous Jedi hero as a piece of Star Wars mythology (like Vader being a Sith Lord, a term which isn't mentioned on screen until 1999) was well circulated and Darth Vader as an Imperial enforcer/former Jedi/who helped the Emperor hunt down and destroy the Jedi knights isn't Top Secret information by any means.
Imperial officers and rebel princesses use Vader's infamy as a means to snipe at him.
So as a re-jig Darth JarJar's idea could work.
Naturally Anakin being Vader is not open knowledge (maybe the Imperial elite know about the specifics but as far as we know for sure they are as clued up as we all were watching the first film) but that doesn't have any impact on his idea.
You don't get a cash prize on this thread you do realise this?