To see what you are missing on your coin, note what the two examples (dies 2 and 3 on coppercoins) have that your coin doesn't:

Note on the arrows, the hub doubling is seen as a raised area above the fields? On your coin, it is
Machine Doubling on the devices outline. It does not enlarge the devices. Not look back at the coppercoins example. Now you can see on their attributed coins, the enlargement of the devices.
Machine Doubling is caused by the machine on a normal die. But even
Machine Doubling can affect a doubled die as well. As it alters the doubling with flattened areas. Note the big
DDO: How you can see this:

Note first all 4 examples are the same doubled die? Now note the
Machine Doubling on the yellow arrows. See how those areas are flattened. The machine did this after these strikes. So a lot of these had this MD on the doubled die. That doesn't cancel them out, as they are a doubled die, with
Machine Doubling. But to a serious collector, they prefer not to have the doubled die as it is a distraction to the doubled die. But when there are less than 50 examples of this
DDO, they take what they can get. Hope this helps you see why your is not a doubled die, and that doubled dies have the doubling on the die transferred to the coin.