The second layer of planking is the decorative side of things. The second layer uses 0.5mm strips of wood which is much easier to shape and to follow the contours. You now have a glue surface along the whole length of the plank and not just at the contact points with the bulkheads.
I experimented with different glues - settling in the end for contact adhesive which I never thought I'd use on a model. I did thin it down to be able to brush on without forming lumps or streaks of glue. This thinned down glue also shortened the waiting time for the initial drying period.