Zazzle took down almost every parody shirt I've ever made - even ones with custom artwork.
For example I made a "Yo Bama Bama" shirt that had custom art of Obama wearing a Yo Gabba Gabba hat with various phrases... that was taken down.
Custom artwork of video game characters saying stupid things... always taken down. Anything that referenced some sci-fi movie or TV show was always taken down. I'm surprised the NSA even had to complain. Zazzle preemptively stifles free speech when it's obvious it's a parody before anyone complains. Zazzle is so bad about this - I don't use them for anything anymore.