Players choose what they do in a sandbox."Player authored quests" are not typical of sandbox play as I know and understand it. In bog standard sandbox play, the GM populates the sandbox, and players make choices within it. The players don't author quests - that would be the player populating their own sandbox. Player authored quests are that's more a "neotrad" playstyle element, giving more narrative control to players.
Why are you trying to move the goalposts? ETA: Specifically regarding bringing in the trad vs neotrad debate. That would just be a distraction.
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