Much better than that: if the research/software that identifies authors is published, and some reasonable approximation of the public training set that deanonymizers would use is available, then anyone can check their writing against the tool before publishing it.

If your writing is too identifying, just perturb the text until the tool fails to identify the author. Or even better: perturb the writing until the deanonymizer fingers someone else, in a usefully confounding way.

The deanonymizer's feature-extraction/analysis could itself help drive the perturbation routines. "Make my word choice more like Paul Graham", you could say. And even if there are limits to its automatic substitutions, it could offer coaching: "To make your writing more Graham-like, decrease your average sentence length and use fewer interjections."

Edit, resubmit, repeat until the right author is fingered.

Business idea: website that offers this tuning to help un-deanonymize or faux-deanonymize writing.

Evil business idea: this website remembers everything submitted, to allow the super-deep-pocketed to peek in and de-un-deanonymize (of re-deanonymize?) blocks of text.

Typically someone wanting anonymity needs to defend against future attacks on their published works, not just current ones.

It's not a privacy implication, it's an anonymity one. Different things. If you want privacy, use PGP or check the appropriate setting in Facebook to make sure only the intended recipient(s) sees your message. If you want anonymity for publicly broadcast messages of anything you say, that's a lot harder since one can infer on content as well as style and draw inferences around collections of lies just as easily as collections of truths.

I would imagine that a program to detect you by writing style in the way explained here could also be able to anonymize your writing too, with a little rewriting itself. Or even used to frame other authors.