Yeah, I've seen it cause a bit of chaos is multi-player Let's Plays. Players would run into area effects or waste a spell slot on an enemy that was already downed by the other player. Of course, this can be fixed by communication between players that share initiative, but this communication never really happened. When their turn came around, the players simple went, sometimes leading to wasted turns and wasted resources.

I say if you're going to make a turn-based game, make a turn-based game, unapolegically. I'm not a fan of their 'Swarm AI' either.