You're a bit free with that word 'lie'. First of all, the police did not confront Amanda with the video during her night of questioning. Secondly, they believed that 'was' Amanda in the video. The police introduced it in court under Micheli. But, it was ruled to be of so low quality that a positive identification couldn't be made and so deemed as unusable. Whatever you think of the video, it certainly depicts 'someone' going to the cottage, but the reason above is why it was never used in the main trial.
Low quality doesn't jibe with how it was described.
A camera in the carpark opposite Miss Kercher’s house has a "clear-cut image" of 20-year-old Amanda Knox, from Seattle, on the premises, according to police.
ETA: I stand by my comment that they lied.
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