The key word I have taken from the Production Script rule is "additional." The prompt book belongs to the theatre and can be pretty much used in any way. The rule about additional compensation, as I have understood it, comes into effect if the theatre requests the SM to actually create a second prompt book or additional paperwork actually related to a transfer/subsequent production/remounting.
I did a show a few years back that was a remount from a different company. The original production (while a co-production between two theatres) was not originally intended to be remounted by the company I was working with. Included with the rental was the original prompt book and all of the paperwork, as the original company had kept it in their archives. As far as I know the original SM did not receive any additional payments for this as he was not asked to make any changes, updates, additions, etc to the book or paperwork before it was sent out.
The same goes for scripts being edited for publication. Many acting editions are created from the original prompt scripts. The SM would only receive payment for this if they were the ones asked to make the edits for publication, not just if their book is pulled from the archives to use as the reference for somebody else to do the work from.