Greenstone.Walker
Adventurer
Can it even be solved?
Specifically I'm talking about the "STOP!", wait for a beat, "Hammer time!" phenomena that initiative turns create.
I don't think this can be solved if there are more than two people at the table. No matter how you determine order, the GM can only listen to one player describe their actions at a time, and the GM can only tell one player the results of their actions at a time.
But that's OK. When the GM is telling other players the results of their actions, that's when you should be planing your action, so that when the GM asks "Alice? What are you doing?", you describe your action with no delay.