Notices by cyberpunklord420 (ehhh@varishangout.net), page 34

@mona @blueknightfrank @Tamamo @Meemoo I’d like to know the origin of this misinformation.

https://bdtechtalks.com/2019/03/18/google-docs-link-sharing-identity-privacy/

Explicitly shared documents show the name and avatar of users who have currently opened the document. It also shows a full history of edits made by each user. In contrast, publicly shared documents show placeholder animal profiles such as “Anonymous Badger,” “Anonymous Kraken” and “Anonymous Camel” to represent users who are currently viewing the document.

Bottom line: As long as you don’t leave comments or suggestions, editing publicly shared Google Docs will not reveal your identity to the owner of the document or other users.