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You asked if rationalityirrationality was just false or if there was something else to it. Note that the word ‘false’ does not occur on the linked page. Instead, she mentions the destruction of life, dishonesty, lack of integrity, context dropping,the rejection of mysticism, and more.more examples of irrationality. These are attitudes toward truth seeking and their effects.

You asked whether rational but false ideas must exist. That is what Rand means by “not blindness, but the refusal to see, not ignorance, but the refusal to know.” Blindness = being wrong on some issue, refusal to see = refusing to seek or recognize the truth on some issue. To her, blindness and the refusal to see are not the same thing, which answers your question.