After 7 months and 6 or 7 different reps including a manager at Google, it appears we finally have this fixed.
The last rep noticed that there were some old pages lingering in their system. These pages belonged to the old account that was supposed to have been merged or deleted.
The most recent rep deleted those miscellaneous pages.
Now it appears to be working.
There is nothing my client or I could have done directly to resolve this problem.
So there ya go. Thanks for listening.