The knowledge that about what information is false as opposed to what is true is quite essential in a psychological perspective about manipulation. If a person persuades someone about something he belives by conveying information he belives true, I do not call that manipulation.
On non-psychological level, a pure communication level, you may address the power of the media employed - the "unbalance of medium" - and one may call that a media influence. Which is something different. But that - as for psychology, communication and moral - would be persuasion techniques, not manipulation.
If the reporter has access to all information and bears a specific responsability of telling the truth, and understands the message is partial, slanted or false (such as the US networks did when talking about the Meredith case) this would be manipulation. But the prosecution is a party, they have a task of illustrating ther accusation.
However when you say "they want to believe it's true and they want the court to believe it's true, too, so they illustrate it", this - which regards presentation can't be acceptable as a criticism of the video animation, because just the same could be said about everything a prosecution, does, any prosecution, in any trial. The prosecution attempts to convince the court, wanting the court to believe their accusation is true. They deploy an array of means to that purpose. Several of those are communication techniques. Why specifically a video should be wrong or not acceptable rather than something else?