Interesting topic.
As a CoG player, I’d say it would certainly add a unique experience to a game if one manages to pull it off well.
On the writing side, it’s a spectacularly daunting task. You have to consider just how much, or even if, you need such a feature. Consider the NPCs and how they might interact with a wholly new PC, a stranger who doesn’t at all know them like the past MC did. Consider how this might affect certain events. Consider that it might be akin to writing a story from two different viewpoints at once.