As we make choices and roll dice, we discover more about how things are. The fighter aimed not to waffle, but he really did roll lower initiative. Of the possible worlds he might have found himself in, he turned out to be in one in which the orcs were faster.
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We can feel vexed that our fighter in that square located so very close to the door couldn't make it there before the orcs, but the phase space included other dimensions. They play a part in our narrative, too.
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In a way, our complaint is that initiative shouldn't trump grid, and we are vexed because initiative does sometimes trump grid.
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A viable way to solve
@FrogReaver's problem may be simply to adjust our expectations so that we don't feel jarred out of SoD by initiative telling us something different, than grid alone.