That's dangerous as well, because now your language can be analyzed and compared with other writings from you.

Just get hammered [0] before writing.

[0] - or sober, whatever is the opposite of your typical working state

Software like Anonymouth [1] can be used to counter attempts to perform stylometric analysis.

[1]: https://github.com/psal/anonymouth

Then you're sending a fake to the media.

The media will ask if the document is real and the organisation will correctly claim that the document is a fake (because you used your own words).

A lot of these techniques actually make verifying leaked documents very difficult.

In fact some of the faithfully rewritten "facts" may be small fictions designed to identify, couched in the real text. Rewording them still confers the fingerprinted meaning.

Use an automatic document processor written by someone else to paraphrase the text.

I imagine such a program already exists among top-shelf university student cheating service providers to defeat the academic plagiarism detectors.

(If not, write one, and sell it to leak sites and to cheating service providers. $$$)

AKA the "roll your own crypto" strategy.

I fail to see how using an existing tool if it exists, and writing it only if it does not qualifies as "roll your own crypto". Automatic paraphrasing would defeat the writing style analysis suggested by cousin post.