We've come a long way from you conspiratorializing about Peter Gill - and then not willing to do anything about it.
And, no, the account that Mignini himself relates is that he was called into the room by (probably Ficarra) because they believed she'd implicated herself. Amanda never asked to see Mignini - when he came in she thought he was the mayor. The reason, though, they continued Mignini himself makes clear to Drew Griffin - he intuited that Amanda needed to keep making spontaneous remarks. It was crucial that Mignini put it that way, because to preserve this "spontaneity", he needed her to say nothing about the session, other than blurt out more spontaneous stuff.
If it had been as you said, Mignini would have had to refuse to listen to her until he got her a lawyer; as he tells Griffin was the reason why the first session had to stop - Amanda had no lawyer. Hear that? Mignini quoted the law to Griffin why it had to stop; until at least a lawyer was present.
Ficarra asked her about the males in her contact list and in recent calls. Amanda complied. When Ficarra got to Knox's, "See you later", response to Lumumba, Ficarra thought they'd hit the jackpot. Knowing she was innocent, Amanda complied but tried to correct Ficarra on what "See you later" meant to an American. When Anna Donnino (the translator who said she acted like a mediator) arrived, she was no help. Instead, she told Amanda she probably had amnesia.