What is the significance of Agatha being taken from her brothers at PreCrime?

When John takes Agatha with him he disrupts the visions that the Precogs have of future murders. Agatha is the most talented of the three siblings, so when she is taken, the Precogs are unable to make predictions. Thus, while John is searching for a way out of his framing, he is also opening up society to greater vulnerability by taking away the most talented Precog.