This is a blindspot in the NEC that I wonder about too. Since you are changing the number of sets for curtailing voltage drop, you will get a different answer depending on what you consider your starting point size. Is your starting point size 4 sets of 600 kcmil? Or is your starting point size 8 sets of #3/0?
To meet the wording of the NEC without question, I would count the 8 sets of #3/0 as your starting poing size (minimum size that has sufficient ampacity for the intended installation), which would mean you have an upsize ratio of 600/168 = 3.57.
If the NEC intended to allow ANY configuration as "the minimum size that has sufficient ampacity for the intended installation", even if it is less sets than you are installing, I believe it would need different words to allow this, even though a 1 to 2 upsize ratio in this situation would make just as much sesne as a 1 to 3.57 ratio.
Now if you do end up increasing the quantity of sets so much, that each set would hypothetically be less than 1/0 as the minimum local size, then you would go no lower than 1/0 as your starting point for this calculation. Because even though 13 sets of #1 Cu would be 1600A, it would not be a legal installation. So your upsize ratio would be based on 13 sets of #1/0 to 13 sets of what you are installing instead.
Good point, and I agree, that would pretty much ensure you met any inspectors interpretation.
I guess my argument for doubling the grounding conductor is that the feeder COULD be (4) sets of 600KCM, and that is a minimum necessary to meet all the code requirements. So adding 4 more sets doubles the conductor KCM, so doubling the grounding conductor should be enough. Nothing in 250.122 says our calculation has to start and end with the same number of conduits.
Said another way, nothing in 250.122 says we have to start with any particular feeder configuration, so I should be free to choose any starting configuration that has just enough ampacity to match the OCP.
In many ways, I see this code requirement as overkill. We generally need one 4/0 to trip a 1600A OCP, if table 250.122 can be believed. But since we need multiple conduits, we now have four 4/0's. And since we are increasing the feeder sizes, we are up to eight 4/0's. Depending on how you do the calculations - maybe even twelve 4/0's.
If you happen to be running EMT, it seems like it might make sense to just use the conduit as the ground and forget all the headaches. I guess my point is that there should be an exception that if you don't need the ground wire in the first place (if the conduit is a legal ground), then you don't have to upsize the ground conductor for voltage drop.