It's nice to avoid complexity where possible and I do agree with identifying positions vs. people.
However, it's really important that the right people approve process changes, and the process needs to somehow identify who they are so proper controls can be reliably established. Your people need to be taught that if they don't already know.
These "Approval loops" should be defined by asking "Who needs to know about changes to this document?" Where I work anyone can make a change to a document, so the approval loop also includes the document's owner, giving veto powers over the change.
How these "approval loops" are communicated is your choice. Some organizations put them in the documents themselves, while others develop a matrix of various approval loops, and associate them by name or number to documents they are assigned to; this name/number is identified in each document, so people who make changes can make sure the right people get informed/the right to accept or reject the change.
I hope this helps!