Cylinder adaptive component showing additional lines and the surface is already divided by design
There could be a serious issue because working with Cylinder- Generic Model Adaptive could lead to additional lines displayed in views that you can only get rid of using the Linework tool. This Could be time-consuming.
While working orthogonally you may find a workaround going to Part Visibility: Show Parts. If you re not working orthogonally the PArt Visibility would not work.
Please refer to the screencast:
https://knowledge.autodesk.com/community/screencast/d63a9469-89e4-4748-b437-af08f7ccb497