This addon saves the content of the eror console to a html file in the download folder. It can also trigger some old messages and even at startup if addons are initialized. So it is not even helpful to get a detailed log of users, it might also helpful to debug its own addons. New it supports buttons for more easy usage and filtering messages by types.
In next time the following features will be added: setting up custom log behaviours for custom addons
A guide how to use the addon, support and changelog are provided at the website