It's probably more accurate to think of giftedness on a spectrum (not that spectrum), rather than a binary "have it or don't have it".
For example, I've noticed in myself and others that in an area where I have a particular knack or an outsized "giftedness", it also comes with a corresponding lack or void somewhere else. This is not to mean that anyone is "less than", but rather, no one is good at everything all the time. We need each other, and where I may have weaknesses, you have may have strengths. I can either appreciate the difference that you're better at something than me, be humble, and ask for your help. Or I can hate you and degrade you and belittle you for being better than me, and spend my days trying to be equal or better than you at something you likely didn't "try" to be good at in the first place. You just are. So what?
In your definition, "giftedness" comes with the added responsibility of not being demeaning to those around you. Sometimes "intellectual giftedness" comes at the cost of "social giftedness". That's not bad. It's just different gifts.
For example, I've noticed in myself and others that in an area where I have a particular knack or an outsized "giftedness", it also comes with a corresponding lack or void somewhere else. This is not to mean that anyone is "less than", but rather, no one is good at everything all the time. We need each other, and where I may have weaknesses, you have may have strengths. I can either appreciate the difference that you're better at something than me, be humble, and ask for your help. Or I can hate you and degrade you and belittle you for being better than me, and spend my days trying to be equal or better than you at something you likely didn't "try" to be good at in the first place. You just are. So what?
In your definition, "giftedness" comes with the added responsibility of not being demeaning to those around you. Sometimes "intellectual giftedness" comes at the cost of "social giftedness". That's not bad. It's just different gifts.