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I'm struggling to think of any examples where it happens but the idea is pretty neat.

I'd so it something along the lines of order tokens, with no idea which set of orders are going to activate (or which players) first. Though you could weight it such that there was a predictability to it to avoid total confusion, but every now and then fate crops up to mess with you. Sometimes for the better, sometimes for the worse.

Like imagine a game of Epic, where First Fire didn't automatically go first. You make a roll akin to a BB kick off roll and random events can skew things. 'Heavy Fog: This round First Fire orders go after charges.' or 'Temporal Comm distortion- units on Advance orders are changed to charge orders this round' or other silliness.

It's worth noting the more random you make it, the less weight individual rolls will be able to have, lest the game turn into a complete joke. Randomness/low success rate are good when they are mitigated by the ability to time things, focus or correctly gauge commitment.