While reading passages from The Hitler Book by Helga Zepp-LaRouche, I found the following one about Nietzsche, which indicates that she did study his work in depth, contrary to what I had concluded based on what I could find on EIR's website:
The Case of Friedrich NietzscheThe absolute height of Romanticism, or rather the nadir of general culture, where raving folly and emotional infantilism turned into aggressive mania, the welding point between the Romantic muddle-heads and the Nazis--this was the world of Nietzsche, whose works can only be described as the mind running amok.This self-hating, joyless psychotic could not tolerate the idea of reason; he hated Socrates, Schiller, Beethoven, and Humboldt. In his confused writings he attempted, if incoherently, to rewrite history, emphasizing not the classical and Renaissance periods as the Weimar classics had done, but the Dark Ages, the dionysian and bacchanalian orgies, the dances of St. Vitus and the flagellants. He regarded the scientific mode of questioning as man's arch-enemy, just as the Greens do today. Everything the Nazis later made into reality was already lurking within Nietzsche's tormented brain, darting about with increasing frenzy: the volkisch idea, a deep hatred of industrial progress, the "biological world outlook" of "blood and soil," the idea of a master race, the mystically inspired hatred of Christianity, and its final and ultimate form, the Ecce Homo, where Nietzsche cries out: "Have I made myself clear?--Dionysus against the Crucified...."Nietzsche, celebrated along with Dostoevsky as the prophet of the Conservative Revolution, was the spiritual pathfinder for the nihilism of the National Socialists and the existentialist philosophers.The most extreme form of nihilism is the recognition that every belief, every notion of truth is necessarily false, since a true world does not exist. It is thus an illusion of perspective.... Let us think this thought in its most frightening form: Existence, such as it is, without purpose and without aim, but ineluctably returning, without end, into nothing--this is the only return. This is the extreme form of nihilism: nothingness ("purposelessness"), eternally!Nietzsche's sick cultural pessimism has had many variants, from Lagarde, Langbehn, and Oswald Spengler through to Jean-Paul Sarte, but he has never been outdone. The Nazis, Pol Pot, and Khomeini have seen to the practical application of his world outlook.
from The Hitler Book by Helga-Zepp LaRouche, p 53
This is an excellent characterization. I find the quote from Ecce Homo to be particularly interesting, because it contains Nietzsche's insane idea of "eternal recurrence," which seems to be an arbitrary, isolated attempt to counteract the logical conclusion of existentialism, i.e. that physical death is nonexistence. So, it assumes the existence of some purposeless abstract underlying reality that serves as a bridge from one purely materialistic "recurrence" to the next. Shades of Newton's "action at a distance."