Like I said, she didn't grasp it fully, so it's hardly even a ripoff.
The only "new" thing she adds is an obsession with thinking rationally, but in a sloppy way that ends up just being nonsense. For someone obsessed with rationality, she never took any time to understand it, e.g. things like Bayesian inference, and reasoning in real life with messy uncertainty and incomplete information. Her type of rationality only works in carefully constructed fake scenarios in books, and ignores both the value of emotions, and the fact that cognitive biases make it a challenge for us to tell apart emotional reasoning from rationality, without practice and specific techniques. She boils it down to a moral choice, when it's actually a skill - a skill she didn't respect or develop in herself. Without these things, "rationality" is usually just a strategy for emotionally manipulating others by making up your own "objective" authority.
Carl Jung is a better example of someone who really understood Nietzsche, and (intentionally and correctly) "ripped off," e.g. borrowed and built upon some of his ideas. He also (unlike Rand) understood that much of our intelligence is connected to our unconscious, and is communicated through emotion... to deny that it to deny most of yourself.