The doc already has a Note bubble for the log_statement parameter with some important callouts.
I am proposing adding something there to call out that there is no guarantee provided that all committed statements in the DB will be logged. The logging to the log file is not part of PGs ACID compliant DB engine but instead a separate best-effort system. This might be obvious to some people but I don't think it is for everyone.
In many cases people will use these logs for security, legal or compliance reasons and I think it's relevant to users to make the consistency guarantees explicit and clear.
Please let me know what you think and also if you think there's a different place where this notification would be better placed. Maybe it already exists somewhere else.