"Someone who has it won't be hindered by training."Um... THAT depends on the training.
I had it. I lost the joy of singing 7 years ago because of singing in youth choirs, and only got it back this year. My conductors did their best (unintentionally, I sure,) to train certain things OUT of me, and sitting next to someone who always sang exactly a hair out of tune was the last straw.
...And I LOVE music, and LOVE singing!
And now it's going to be a lot of work to get back what used to be completely natural.