GQ magazine has a reasonable article about Rand believers titled: The Bitch is Back.
There is no denying the effect of Rand's writing on teenagers. It's characteristic of propaganda aimed at teenagers. If they only believe in these true principles, they will find their triumphant place in life leaving their worthless competitors in despair! How exhilarating! Thus the emotional hook which fosters belief resistant to criticism, logic, and reality.
This sort of propaganda works on teenagers and other ignorants because they have not yet been vaccinated with enough worldly cynicism, let alone been exposed to more sensible alternatives and counter-arguments.
Even if you are not ignorant, it is difficult to answer Randian "when did you stop beating your wife" assertions that you must believe or you are a looter. The perverse framing is pervasive in Rand's books.