Several parts of the GFDL (e.g., 4b, 4i) seem to prohibit anonymous
modifications to a document. Quoting 4b:
List on the Title Page, as authors, one or more persons or entities
responsible for authorship of the modifications in the Modified
Version, ....
If this requires an actual name, it seems this might fail the
Chinese[1] Dissident Test.
Compare this to GPL 2a:
You must cause the modified files to carry prominent notices
stating that you changed the files and the date of any change.
I think "you" can reasonably be interpreted to include pseudonyms, thus
preserving anonymity, or even not putting any name at all.
[1] If Ashcroft gets his way with even more "Patriot"-Acts, then I think
we'll have to rename this test.