Emily's Cat
Rarely prone to hissy-fits
Yes, you've argued that ad nauseum.
Parody: "an imitation of the style of a particular writer, artist, or genre with deliberate exaggeration for comic effect."
COMIC effect. That is what comedy is.
None of which makes it immune from being offensive or insulting.
Seriously, minstrel actors dressed and performed in a deliberately exaggerated fashion for COMIC effect too. That didn't make it any less offensive.
