I currently can't sphere/cylinder map this type of chart/cuts

[micheus]

That works fine in a regular spherical shape. The only adjust needed is to move the top and bottom vetices in the poles (red circles). The image mapped in the poles is a little pinched, but I think that is hard to avoid this without a human touch.

I didn't used your file because I'm on a poor PC for this high resolution object. In a i5 4GB (but only 1.5GB free) with an Intel integrated graphic card it's almost impossible to work in this kind of mesh.

I just discovered that my Bump_Mesh is still working under v2.0.2.