Some quests steps (e.g: Forsaken expansion's Ace of Spades quest involves killing 5 invading players in Gambit and 25 precision kills in Crucible) require players to participate in PvP activities that they would rather not engage in. Would it be possible to simply add a PvE option to any quest step that initially requires PvP? This would not take anything away from PvP players & would allow PvE-only players to complete a quest step that they would originally shun.
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The quests that have pvp in them, like the Ace of Spades, have pvp in them because of the history of the weapon or the wielder. It's fitting that Ace requires both crucible and gambit because of Cayde's back story. It's a similar story with the other pvp linked exotics. If you check the lore, it's right in there as to why.