I agree, the whole trial transcript does need to be read in order to ascertain what really happened. If you had done so, you would have realized that when LE went through her phone and saw the message to Patrick, they didn't know who it was to, and so they asked her to identify the recipient. This is clearly indicated in the transcript where Mignini reads back the minutes concerning his cross-examination of her (The part you cited):
GM: [reading] She said: "I accused Patrick and no one else because they were
continually talking about Patrick." Suggesting, to use Amanda's words.
I asked: "The police, the police could not suggest? And the interpreter,
was she shouting the name of Patrick? Sorry, but what was the police
saying?" Knox: "The police were saying, 'We know that you were in the
house. We know you were in the house.' And one moment before I said Patrick's
name, someone was showing me the message I had sent him." This is the
objection. There is a precise moment. The police were showing her the message,
they didn't know who it was--
And from the part you cited yourself:
AK: So, there was this thing that they wanted a name. And the message --
GCM: You mean, they wanted a name relative to what?
AK: To the person I had written to, precisely. And they told me that I knew,
and that I didn't want to tell. And that I didn't want to tell because I
didn't remember or because I was a stupid liar. Then they kept on about
this message, that they were literally shoving in my face saying "Look
what a stupid liar you are, you don't even remember this!" At first, I
didn't even remember writing that message. But there was this interpreter
next to me who kept saying "Maybe you don't remember, maybe you don't
remember, but try," and other people were saying "Try, try, try to remember
that you met someone, and I was there hearing "Remember, remember, remember,"
and then there was this person behind me who -- it's not that she actually
really physically hurt me, but she frightened me...
If you're going to ascertain that LE were not the ones to bring Patrick in to this then you also have to completely eliminate the questioning of the text message from the interrogation, which no one during the trial ever denied. It's very evident that Patrick was named because LE had a keen interest in the text message to him because it fit with Raffaele's claim immediately prior that Amanda had left his apartment. The fact that they needed Amanda to name him as the recipient of the message is irrelevant. It also doesn't fit with the MO of someone who is lying.