I went through the options, with the same successs :( so ... so, what about Booleans?
To help a bit topology, use
- firstto help a bit topology, use Simple Deform Modifier > Twist
- than ShrinkWrap >
- Smooth Modifier better set to Factor 0.5 /> Repeat 5
- add a Cube and for Cylinder add Boolean Modifier > Intersect
(if you plan to move Cylinder, would be better to parent (Ctrl+P) Cube to Cylinder)
- to smooth surface - search for Smooth Shading
- fix for edges shading, - go to Properties Editor > Object Data > Normals > Auto Smooth
(like that Subsurface Modifier probably is not needed in this case)
