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

[micheus]

That noise can maybe come from the seams. Remember what I said/show about the tillable texture...

You are mapping UV to its limit [0.0-1.0] that results each side of the seam to not fit fully each other. In the image I'm showing only the left side - it's a lot of work play with images that way.

you need "define a virtual straight line" (the meridian) that will match with the left and right side of the image and by using it you chose which vertex must be mapped like greater then 1.0 for the right side and which should be mapped less than 0.0 for the left side.

It's something like that. I hope you got the idea.
It may not work exactly like that but in that way - need to code and test (not me )