I agree with you that her entry unintentionally ends up skewering itself by running head-first into the joke. Really though, she skewered herself by ranting about a really bad joke.

The C+= joke sucks. It's poorly executed. It's far too self-conscious and has way too many "wink-wink" moments to be effective satire. You either need to be clever and subtle, or absurd and outrageous. Instead, most of the jokes fell flaccidly in the middle: too obvious about its subject matter, but not even remotely clever. Making it a programming language doesn't make it clever joke, it just means you tried really hard to tell a joke.

And she fell for it. Which ironically validates its existence, poor joke execution be damned.