Unfortunately I do not know for sure. It may be different from one country to another, or in different parts of the same country.
I might make a guess, based on what is available at the major hatcheries in the USA:
I have noticed that most hatcheries offer one kind of naked neck chicken, and many kinds of chickens with feathered necks. If there was great demand for naked necks, I would expect to see the major hatcheries offering many different kinds with naked necks (big and little, different color, feathers, different comb types, lay eggs that are brown vs. white vs. blue or green, and so forth.)
For comparison, hatcheries typically offer several breeds with feathered feet, and they offer them in a number of different color varieties in both small (bantam) and large sizes. I have recently seen listings for Easter Eggers (blue or green eggs) with feathered feet, in addition to the white and brown layers that have been around for a while.
Based on this, I would guess that feathered feet are quite a bit more popular than naked necks. I would also guess that clean-footed chickens are even more popular than ones with feathered feet, based on how many more of them are available.
Update on this: after seeing the picture, I think your chicken probably has two genes for naked neck, and will give the trait to every chick it produces. Two genes make the neck more naked than one gene, so if you cross that chicken with one that has a feathered neck, the chicks will not look as naked as the one you currently have.