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real life and the internet are both littered with people saying "they're not gifted, they're just smart".
Yes, I've seen many parents in denial about their own childrens' giftedness. For some parents this may be due to being undiagnosed as asynchronous themselves as kids, therefore not seeing their child as differing from the norm, just a smart little apple that did not fall far from the tree. I've known others who held to the belief that their child's intelligence was not innate but due to hard work... while others covertly engaged in hard work in order to present their child's intelligence as innate. Some of this may be reflective of the parents' level of awareness, some may be cultural, some of it may be by design. Although some may see a number of these approaches as sub-optimal, kids have been largely successful under each type of parental guidance, depending upon the circumstances.

By analogy, here we exchange "recipes", understanding they may need to be altered for local preferences, baking time at high elevation, etc.