As to the first 2 questions, there's no way to know. I'm not even sure what that even remotely has to do with the topic.
It's an absolutely justified question to ask why is she in the room. What qualifications does she have to would make her the appropriate choice vs the hundreds of thousands of other female executives in the work place? It's usually very easy to find the work history and experience of women in that powerful of a position. Nicole has none that we have seen.
The quote says her input has been key in making several of the right decisions. We'll at 1-10 with the HC fired, our traded for QB looking atrocious, and nearly every other decision looking like the wrong one, I'd say there is no reason to believe that she has any business being in that room.
Dave can include her all he wants to, but he hasn't shown he should be making those decisions either.
What I looked at in the first game? First game if not preseason/camp. The benching for injury early tells you it didn’t take long. Frank knew he was screwed in April and May. Tried to be a good soldier until he saw it was useless.