Uneven texture

Hello everyone.
With the help of two rings and the loft team, I built a cylinder. Then I put on the texture.

To get the most accurate detail, I deployed the cylinder through the unroll command. But after applying the texture, deformations appeared.

Using Rebuild Curve, I added the number of points in the circles, added a straight line between them and rebuilt the cylinder through the Sweep 2 rails command. This slightly improved the result.

Tell me how to achieve the ideal.

Hello - please post your example 3dm file, or send to tech@mcneel.com with a link back here in your comments.