Are you guys not talking to each other when doing multiplayer? I mean, even if we don't share initiative, we talk about our ideas for the next actions (among lots of other things). And at least for me talking to each other is one of the main reasons to play multiplayer games in the first place.
The only issue I noticed with shared initiative is related to sneak attack:
Lets say you have the turn order: Player1 -> Enemy1 -> Rogue Player -> Enemy2
If Player1 kills Enemy1, I've noticed that as a Rogue you might not be able to use your sneak attack during that turn if you used it in the previous round (seems like the cooldown is not reseting properly).
