It's not foolproof, but that does require that you have released a sufficiently large sample of LaTeX source under your real name (or something that can be traced to your real name) for comparison. Additionally, if you really want to release something typeset like that, but you're worried about fingerprinting, my guess is that it's not that hard to deliberately change your personal style by using a minimal set of packages and when necessary restricting yourself to the most popular packages. Even if your new personal style still ends up unique, it wouldn't match the fingerprint of anything you've released under your own name.
Yeah well that's not me... I've been on BBSes since 1988 and got my first proper internet shell account in 1991 when, incidentally, I was 13.
The reason I made the comment is because it rubbed me the wrong way to cite 13-year-old girl talk as prototypical gibberish. Are 13-year-old girls generally excitable and potentially annoying? Yes. Do they talk in gibberish as a matter of course? No, that's a thoughtless sexist trope.
And I'll place a blind bet that they text faster than you.