The words recently came out of my mouth where I said all the investment of time and thought in operating the carefully structured ordering of Action Resolutions has no effect on combat outcomes, because it only sets out the order in which things get resolved within the PCs' turn.
   Actually, what it does is let committed toe-to-toe combatants go before the more circumspect shooters and movers – so they’re less likely to come up targetless and lose their turn – where the more circumspect ones are more likely to be able to redirect onto something else if need be.  Which is admittedly pretty neat in itself.

But then coincidentally, a couple of days later I saw a Bob the World Builder YouTube video singing the praises of Daggerheart for the way its side-based Initiative allowed everyone at the table to choose the order in which their actions were resolved (like he said PbtA and Nimble also do; I’m sure there are others), allowing them to meaningfully work together for a more engaged experience all round.
   It has to not just become a popularity contest, let the pushiest player dominate, or see the whole group spiral down into committee-decision paralysis.  But the possibility of allowing teamwork decision-making to plan and collaborate instead of taking it in turns to perform unilateral actions (with a covertly competitive vibe going on?) has got to be worth going for.

Cheers!
–Os.