This option is typically available in most other MMOs or just competitive games in general, allowing players to view the recent players they played with or against, post-match. This option would be great since there have been so many scenarios where I'd play a Crucible match or Onslaught and someone leaves, preventing me from reporting their poor behavior in-game.
Nearby doesn't help because once they leave you cannot access their profile, so providing a recent players button in the friends tab would surely help to alleviate this.
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You do know there's plenty of "out of game" websites and apps that show EVERY little detail of your past gaming history, right?