If I only had one organization doing all my auditing and did not have to deal with the federal government, I could only have one set of "Books". In a library you have different sections fiction, non fiction, etc. Any organization of any size has safety rules which are primarily "controlled" by the government with input from the company to make the rules/laws more specific to the business. These rules cannot be changed by some whim of an auditor who does not like the format they are presented in. I have had to change calibration procedures many times just for this reason. Is an ISO auditor willing to take responsibility for any change that may be made to a safety rule due to their input? What if the change even though it seemed small resulted in an injury, this can easily be the case in LOTO, a very specific order of events MUST happen.
Over the years I have had to endure many audits on safety, quality, maintenance, engineering, etc.(I bet you guessed that already). We have an auditor for our auditors. Do you believe the Safety Auditor should dictate how the ISO documentation is written and controlled?
All this having been said, YES all documentation needs to be organized and controlled BUT the controlling "Group" should be the subject matter experts that have the primary ownership for the documentation. And they should ONLY have input into the documentation that falls under their subject matter expertize.
Over the years I have had to endure many audits on safety, quality, maintenance, engineering, etc.(I bet you guessed that already). We have an auditor for our auditors. Do you believe the Safety Auditor should dictate how the ISO documentation is written and controlled?
All this having been said, YES all documentation needs to be organized and controlled BUT the controlling "Group" should be the subject matter experts that have the primary ownership for the documentation. And they should ONLY have input into the documentation that falls under their subject matter expertize.

