On the slicer image, yes the missing bit can be fixed by tweaking values - it was a Thresholds Normal of 0.73 for some reason, I must have been tweaking it for testing - but at the default of 0.85, there is no missing bit :)
BTW this was a test with the Slicer material, as I had heard Toon in V-Ray has trouble with the Clipper (their equivalent to Slicer). It all works fine in Corona from my testing so far, though - the one trick is if you have overlapping Slicer objects that have some coplanar faces that will be doing some slicing, you should ProBoolean them together into one Slicer object to avoid extra lines in capped surfaces. Screengrab of the scene set up attached so you can see where I probooleaned.