With a double IPA, you may actually WANT to pitch on top of the yeast cake. I know a lot of people dog pitching directly on the yeast cake, but as long as you are 100% confident that there is no infection in your current batch, go for it! Like you said, it's pointless to wash this yeast just to repitch. Also, your original batch wasn't too high in alcohol, so you shouldn't have to worry about the yeast being damaged by high amounts of alcohol.
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