This is not an answer to the question but too long for a comment by 1253 characters.
STACS 2021 used light double blind review. We used easychair for it, which provides some functionality for double blind review. You need the executive licence, which costs some money. Costs depend on the number of submissions, I think for STACS it was around 600 British pounds.
Overall, the process went quite smoothly. As a PC co-chair, you can of course see the authors. So I actively only handled very few papers, mostly those that no one wanted to have and there, I was rather far away from the topic. Instead I focused more on monitoring the process, stimulating discussion etc.
Authors can declare conflicts of interests when submitting. I had the feeling that this was used in an honest way. Furthermore, PC members get to see a list of all authors (without the paper titles) and can declare conflicts of interest against authors. This eliminates essentially all conflicts with PC members. (As a PC chair, you can see the
list of all COIs. The authors' declarations and the PC's declarations matched with very little noise.)
More problematic are the subreferees. Easychair blocks referee request to authors of a paper automatically (if you use the email addresses from the list provided by easychair). Subreferees were asked to declare COIs if they were aware of it. In most cases, this worked well. There were a few cases (maybe 5 out of > 600) were I had the feeling that the subreferee correctly guessed the authors and wrote a biased (very positive) report. One could have a person (or committee) here, who sole purpose is to look for such conflicts but who is not involved in the PC work.
In a questionaire fill out after the notification, about 85% of the subreferees said that they did not actively searched for the authors. On the other hand, about 50% were able to guess the authors of at least some of papers they reviewed.