UV Unwrapping/editing - Curved concaved objects issues...

Hello, something tells me this is an easy fix, but I can not figure out the best/easiest way to do this and still be PRECISE!

I have been trying to get a patterned texture onto the curvy object I posted for ages. I need the pattern shown in the UV editor to continuously flow around the object seamlessly. As if the pattern behaved like a sheet enveloping the object seamlessly, with no breaks or stretching.



I have tried the following with limited and or no success:

Live unwrap
Edge Seams
Smart unwrap
Globally coordinating texture
UV stitching with and without the various options
Project from view unwrap

Those I have mentioned either do not work at all. Will solve the pattern problem but causes blurring problems, solves the blurring problems but causes patterning problems.

Also I DO NOT use texture painting for linear objects. Only organics.

I also only use digital and exact methods and nothing relaying on line of sight or eyeballing.

Any help would be most welcome as I have been working on this issue, hoping I could figure it out by myself, for about 2 months. Sadly nothing I do works.

Thanks

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