Actually, in some respects, it's a rebuttal of Rand, and a demonstration that what LaVey was teaching was "baby steps."
But as I've said, cooperation and competition is but one axis ... and as I should have noted last night, it's most certainly not a perfect comparison. There are aspects of cooperation that fit better into an LHP mindset, and there are aspects of RHP that work with competition ... it's not a perfect parallel, because there IS no perfect parallel.
Later, when I'm awake, I'll try to explain my understanding of LHP, RHP, and why they work together in most (but not all) cases.