OK, suppose the board is a rough cut 1 x 8 that is green. If the board is attached with the bark side out, as the board dries:
1) it will shrink in both thickness and in width so that it is no longer 1 x 8, it will become something like 7/8 x 7-1/2.
2) The rings of the grain will want to straighten out, the board will cup, the outer face of the board will become concave, this will cause the edges of the board to move away from the frame.
Is the idea of putting the bark side out to have the edge lift of the boards due to cupping tighten up the board to batten connection as both boards shrink in thickness?
If the batten behaves the same as the board I would think that one might prefer to have the board installed bark side out (so that the edges will push out against the batten, and to install the batten with the bark side in (so that the batten edges will push in against the board. Does that make sense?