To ensure that reports are organized by robot, all the vaults within each robot should use the same offsite volume group (that is, each robot has its own offsite volume group). This organizes reports by robot and maximizes the reuse of tapes. Media from one robot do not appear on the reports for another robot.
Reports do not seem consistent for an individual logical vault, but this strategy maximizes the frequency with which tapes are returned for reuse. Every time the Picking List for Vault report is generated for any profile within any vault for the robot, tapes from all profiles and logical vaults for that robot can be recalled for reuse (depending on how profiles share offsite volume pools).