I think that including local splitscreen would be a way to strenghten the multiplayer aspect of the game. I've wanted to play co-op with my brother, but we haven't been able to because we only own one PS3. Plus, couch co-op has always been one of the funnest parts of video games! And Borderlands managed to pull Splitscreen in a pretty neat way, I think Destiny can pull it off too.
Thank you for reading!
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It could cause performance issue considering the Xbox one is considerably weaker and they would not add a feature that can't work on all console.