How was it created?
If a 3D effect, you'll need to set a higher value in blend steps.
If gradient or mesh, there is no preference.
Talk to the printer, if it can be corrected on the RIP or if it will matter at all.
If it can't be corrected, apply noise
It is just paths of different values.
Could you post a screenshot with paths selected?
If you wish to use the paths shown, rather than a simpler (and duller) gradient, you may use blends. You should set Object>Blend Options to Smooth Color or Specified Steps (the more the smoother), and Orientation to Align to Path, then Object>Blend>Make. You can make the blend over multiple paths.
Probably, you should insert Anchor Points so that you have matching Anchor Points on the paths that are blended to get nice blends.
I would create a clipping mask around the sphere and then just use Gaussian blur.