The comic does, you're only missing the very clear subtext here because you don't have the context for the joke.

As a fashion designer, Coco Chanel's perspective on accessorizing is, to paraphrase, "look at yourself in the mirror before you go out and pick an accessory to take off and leave at home."

The fact that they're being encouraged to disregard a Nazi fashionista's signature accessory advice and to be "extra" instead is a very clear rejection of Chanel's beliefs.