The best answer for your question is determined by the actual thickness of the laser cut parts compared to what you would laminate the printed ones on if no laser parts.
If the laser parts are over thick (like 1.2 instead of 1 mm) I would not laminate the colored parts on them. However if the laser parts measure out to the laminating thickness, I would attach the colored parts.
If the original printed parts are on bond (regular thin) paper and are used as framework pieces only, then lamination is not necessary.
Clear as mud right?
Hope this helps any way.
BTW I have found that the designer for this particular model generally does an excellent job with his designs. I trust them to fit right and build up well.
greg