That costume is a total anachronism! That's clearly the original Death Star on display, which was destroyed before the introduction of the TIE Interceptor!
It's particularly exasperating because it would have been easy to fix. Just cut away part of the hull to make it clear this is the Death Star from Jedi. Sure, it would mean flashing an awful lot more leg, probably some arse too, but how could that be a problem? It's not like these people are all weirdos!
(Actually, that's the world-famous and utterly lovely Llama God, who I've known for several years and has never once threatened me with a giant blue penis. He does a mean Sookie Stackhouse impression, too. Having said all that, this is only the second most disturbing costume I've seen him sport.)