"What difference, at this point, does it make?” Well, she thought it was important enough at the time to lie about it. And they sent Rice out to lie about it. So the question must have some pertinence.
The real pertinence of the issue is this: they wanted badly to pin the blame on the American video-maker, so as to say, "It's our own fault; there's no need to do anything. No need to retaliate."
So Evita, with her "Don't question me, peasant!" response, is still deflecting any inquiry into their real motivations.