If my classmates' answers are not enough, you can manually hide the nets by the Feature Manager (tree). You may even have 4 to hide and not just 2! You shouldn't have to do this: SW12 bug?
@Fabrice_A: on your previews, we can see that the image is in line mode hidden apparently?!? Where are the threads that are not placed on the local cut? they should appear.
And on the 1st image, we have the central hole in a hidden line.
In SW12, I get this with the different display style, and quality.