Hello, I have no idea how the tool works in C4D, but UV flatten (unwarp) function are more less the same in any software.
For this example I place the seam here, but you can maybe hidden in an other area.
Then I have 2 vertex selections, that force the flatten to straight the unwarp in U or V direction.
For U
For V
In Houdini it's called Axis-Aligned Vertex group, there must be something equivalent in C4D, as it's a common functionality to unwarp tubes and the like and force the uv island to be rectangular.
Maybe try to find something like "Straighten UV".
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