Broadly speaking, the process works as you just described. Every area of expertise reviews its own parts, whether it be the method, IT, subject matter experts, or people who create the tables to be posted on the Internet, or the various tools. Each of the teams reviews its part. We also have overall review processes. Things are done precisely as you described.
Evidence of meeting #77 for Official Languages in the 42nd Parliament, 1st session. (The original version is on Parliament’s site, as are the minutes.) The winning word was questionnaire.
A recording is available from Parliament.