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Think of this simple analogy. Presumably Lauda and aTriz were friends before this incidence, would you expect a friend to participate in the firing squad once a sentence is laid down? I certainly wouldn't.
I would gladly testify and if ordered to punish, would do so; I don't continue friendships with liars and cheats. What's the guarantee that the liar won't fuck my cat behind my back? He/She has lost my trust, I'd ask the individual to Fuck Off.
I can't imagine you have many friends then, everybody lies, you must be the second coming of Jesus to be such a pure specimen.
Regardless what the individual has done, it is of my personal opinion that friends should not form part of the firing squad, simple as that. There is an entire community here, hundreds of thousands of people who can lay down judgement, asking Lauda to do it is wrong. I don't blame Lauda, obviously she was backed into a corner and it became her rep or his, but this situation isn't beneficial for anybody.