Able to see easily the moving order when available
Being forced to look at the settings of the map + go back in history just to know if you will play before or after a specific opponent is a tedious process.
Especially on big maps with lots of players and moves where history is very slow to browse.
What is fun is to plan when you have this information ("ok I am first this turn so I can do this... Next turn I won't be first so I should do this" etc...).
Or also make moves, use cards etc... so that you get this information.
But once you have it, the game should simply display it.
So I suggest Warzone gives this information to players when it is available.
Something like :
Next turn move order :
Player D
You
Player E
Unknown order :
Player A
Player C
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TableTrivia commented
But working out move order is part of WZ strategy. It separates good players from bad based on your ability to infer this information