I understand, believe me. I have argued many times over the years that the 'Process Approach' is nothing new, and is how I have worked with companies in implementation over the last 17 plus years (since I've done consulting).I have been involved in application of process approach since 1983. All my project plans have been based on process approach. I guess you can call me a seasoned practitioner of process approach.
In my case the 'Process Approach' it goes back to college. As a biologist, everything was (is) a system. Period. Interaction of bio-chemical processes was 'where it is at'. How do you do this? Via flow charts, of course.
Hearing Process Approach when ISO 9001:2000 was being hyped made me laugh. It still makes me chuckle... Everything is a process. Nothing new here. Nothing to see. Move along, now.
These are flow charts from around 1994 (revised in 1996): Flow Charts from circa 1994 - 1996. There are no 'Inputs' and 'Outputs' as we typically do today in linear flow charts, but...
Everything is a system or series of interacting systems. People are a series of interacting 'systems'. Businesses are, like humans, a series of interacting systems. The 'Process Approach' is a systems approach.