KYD: Question

The instructions say:

"If another team identifies the suspect, your team still needs to "collect" the card by completing one of the tasks on the card. Only ONE team member needs to do this. The remaining team members can continue to read for the other crime elements."

Does this also apply to other elements of the game? I.e. if there are several victims, and other players have identified the other victims, do we need to complete the relevant reading tasks for the victims identified by other players so we can "collect" the card to complete the game?