Unfortunately for this explanation, Darth Vader is Chaotic Evil.
Well, remember, this is from the 1980s, so he would have seemed a bit more lawful back then.
Using the 1E alignments:
CE: The major precepts of this alignment are freedom, randomness, and woe. Laws and order, kindness and good deeds are disdained. Life has no value. By promoting chaos and evil, those of this alignment hope to bring themselves to positions of power, glory and prestige in a system ruled by individual caprice and their own whims.
LE: Creatures of this alignment are great respecters of laws and strict oder, but life, beauty, truth, freedom and the like are held as valueless or at least scorned. By adhering to stringent discipline, those of lawful evil alignment hope to impose their yoke upon the world.
And of course, we don't have him as Anakin either...
Anyway, we can argue alignment classifications till the cows come home, set up shop, go out in the morning, mutate into giant killer death cows after a nuclear bomb blast, and destroy the universe, so it's really not going to be settled anyway. I'm just pointing out that the terms used in a historical document reflect those times.
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