Her egotism comes directly from John Locke and Thomas Hobbes...
What Rand failed to recognize:
Morality and all of its associated ideals are rooted entirely in the presupposition some higher power defines what is correct for human behavior.
Plato’s Euthyphro is a great illustration. Socrates advances the argument to Euthyphro that, piety to the gods, who all want conflicting devotions and/or actions from humans, is impossible. (Socrates exposed the pagan esoteric sophistry.)
Likewise, morals are such a construction of idols used by the Left as a rationale for them to demand compliance to their wishes in politics, which most often are a skewed mess of fallacies in logic. Morals are a deceptive replacement for the avoidance of sin.
There can be no morality without one singular source defining what it is.