In the event anyone was curious, for posterity, and to say thanks to those who answered... a follow up.
After telling the seller that we'd no longer be providing information, as they had all they needed and we saw them making no movements toward a signed AOS, we gave them a deadline and told them we'd be entertaining other properties as soon as possible.
After that, communication seemed to open and we now have a signed AOS. We are moving forward with purchasing the property.
Thank you so very, very much to the three Pros who took a moment of their day to answer my question. It certainly gave me perspective I didn't have without your vast experience which had the consequence of taking me from an 11 on the emotional scale to a more reasonable 3.
Real estate angels, all three.
Thank you again and happy real estating!