I disagree with your statement that creativity has nothing to do with genetics.
What about the fact that so many of the immortal poets, artists and composers had a family history of depressive illnesses and they, too, suffered from them? I'm not saying that everyone possessing creativity has a depressive illness, just that there's been a link shown between the two. (Kay Redfield Jamison's book, "Touched with Fire")
So, if there exists that genetic link, I believe there is also one for creativity. One may never know they had this talent, if it is not applied and worked with. And of course, there would be different degrees of creativity.
If this is true, then one who does not possess creativity could learn to write poetry, where as, often, one who posseses creativity can write it without really learning...a natural talent, if you will. The same goes for music and art. I have a nephew who's played the piano by ear since the age of three. His younger sister shows no interest, and cannot play much of anything. She is surrounded by creativity, but displays no inclination towards it. My nephew can also write well, and sketches beautifully. I feel he has inherited creativity, along with being intelligent and sensitive. Those last two traits, which are usually seen in highly creative people, are also genetic.
The degree of creativity can vary greatly, with the most creative people excelling, if they apply themselves. Usually, though, those that are more creative than average,
choose to use it, rather than having to work hard at learning to use it. Those with little to no creative talent would probably have to be pushed into writing, music, or art.
I've gone on long enough...
the poet's pen...gives to airy nothing
A local habitation and a name ~ Shakespeare