I think that the entire notion of "born talent" often comes down to people not knowing how to teach.
I disagree completely with this. Several of my current and former students gig....and I have more people approaching me for lessons than I have time to teach. So I must be doing something right.
And I see the natural talent thing all of the time.
If it were not a factor, then every kid who likes to play sports would have a realistic chance of going professional--but very few people become professional athletes. Those that do, certainly work very hard, but they definitely have a genetic gift.
To put it another way, look at the scientific studies that have been done on progressive resistance training (weight lifting). Everyone does the same routine and it is supervised. There is an average amount of muscle that a novice can gain in 6 months...about 8 pounds (6 to 10 depending on the study). Not everyone gains 8 pounds, some gain less, and some more. The ones who gain more have genetic potential--they are basically "born with a natural talent."
One of my friends used to be a competitive powerlifter. He started lifting weights when he joined the football team in high school. Within months he was lifting more than anyone else on the team. The football coach talked him into switching to the sport of powerlifting instead of football...because he wasn't good at football, just lifting. My friend was on the same lifting routine as everyone else, but to quote him, "I just seemed to be able to lift more every time that I stepped into the gym."