SNL makes me think of the cheeseburger/cheeseburger skits with John Belushi. You could go very recursive on this.
Was the skit making fun of Greeks by trading on the stereotype of diner owners (you know, despite the fact that they actually do own diners at higher rates than many other ethnic groups) and mocking those who did not have perfect command of English?
Or were the Greeks culturally appropriating OUR culture - and profiting from it - because cheeseburgers, chips and Coke are not traditional Greek foods?