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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I love all these players talking -blam!- about him wanting to report players for leaving matches. You can tell when somebody is a quitter in this game. "Oh, I got a Seraph Battleground? QUIT! I got stuck with a guardian rank 8? QUIT!" Fine. As long as we all get to do this, "I didn't get paired with a couple hot girls that wanna blow me. I quit." When people start talking down to others for despising quitters, you know it's getting out of hand.