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As I think, embedding is an additional homework for the model. Embed contains an explanation of 1 thing for model. For example, how to draw Lui or Polka. There may be an embedding subject (for example, a character or an item) or art style (guess who's the art style here)
Hypernet is a kind of correction of an almost finished image on the last layers with adjustment to the parameters. You could see examples of Hypernetwork with Iris and Kroni-Irys. It was literally IRisfication of the picture