If they excessively quote the original letter in their reply, it's not real. Nobody puts this amount of effort into a rejection when they are obviously being mocked by the sender. They would send a generic "not what we're looking for" rejection letter at most.
If I were an admissions officer and got an application like the one hinted at I'd probably put the time into a rejection like this since it's clearly what the sender was really after. I mean, it's clear fake, but I kind of wish it wasn't
Clearly Harvard isn't truly committed to diversity on campus. I'm guessing she was the only applicant to submit a 40 minute mix tape of animal noises, and yet they turned her down because there just wasn't a "40m animal noises mix tape" box to check.