I thought first it's my colleague's computer but it happens on mine as well.
The cutting plane view doesn't show 3D line work that has been created in 3D/plan view. It only shows the line work created within the cutting plane view.
During editing I can actually see the line with the red dot. But once I'm finished the line disappears.
It does show points though. And a surface tie and its line work is shown and cut properly in the cutting plane view as well.
Since the limit box is able to compute the intersections with the limiting vertical planes correctly I don't see why the cutting plane view can't do that as well.