Y-yep. She always won that debate as far as I'm concerned as well. I watched that show in reruns as a kid in the 1970's (along with Lost in Space, Batman, Star Trek, Man from Uncle)
Gotta love Galaxy Qyest when Tim Alken tries to reason with the good aliens that his old TV show wasn't a documentary. He says "surely you dont think the Gilligan's Island is real?!"
"Those poor people..."