Staying in that definition: My comment was that the "deliberate exaggeration" would be an exaggeration of the original, not of something else. For example, these meme generator images using movie pictures with Brad Pitt are also not parodies of Brad Pitt.
But yeah, I know that it is hair splitting. ;)
noun: parody; plural noun: parodies
1. an imitation of the style of a particular writer, artist, or genre with deliberate exaggeration for comic effect.
While splitting hairs can be fun, for all intents and purposes, I'd say this is a parody.