I don’t think you can check if array of n elements is sorted in O(1), if you skip the check though and just assume it is sorted now (have faith), then the time would be constant, depending on how long you’re willing to wait until the miracle happens. As long as MTM (Mean Time to Miracle) is constant, the faithfull miracle sort has O(1) time complexity, even if MTM is infinite. Faithless miracle sort has at best the complexity of the algorithm that checks if the array is sorted.
Technically you can to down to O(0) if you assume all array are always sorted.
IQ tests intentionally omit any questions related to empathy, emotional intelligence and creativity, so it can favour people from the top of the pile and act as accurate perdictor of success in ruthless capitalist society. It implicitly promotes lack of those traits in individuals and explicitly promotes the definition of intelligence that’s unrelated to them. While you don’t get lower scores if you’re highly creative or empathetic person, so it’s not directly a detrimental for society and can be a useful metric for some cases like specific jobs, it’s image as sole measure of intelect is manufactured to promote “specific kind of people”, to which group many republican businessmen would belong.
I’m not disagreeing with what you said, just thought I’d expand on that.