No one else has responded to this so I will put in my two cents worth .......
This seems to be the basis of a sheeting system with what are known as anti-twist spans on each pair of battens, that is with that purchase system between each pair of battens. The only thing that you seem to need to figure out is the actual sheet itself. This could be similar to what I have on Footprints. You would need 3 blocks at the stern of the boat for the sheet. Start the bitter end of the sheet at the lower span, (boom & first batten), take the sheet down through the first block at the stern, up to a block at the mid point of the middle span, back down to the second block at the stern and then up to a block at the top span, and then down and through the final block at the stern of the boat and then to the belaying point for the sheet, this is the end you pull on. Does that all make sense? See page 67 of PJR for details about the length of the spans.
I don't think you need the block and tackle system for each sheet span because they just add complication, greater potential for tangles, and more weight to pull up when hoisting the sail. It would be more simple for the two lower pairs of battens to just have a simple sheet span as per PJR and then keep the anti twist span for the upper pair of battens. If you have the sheet set up as I have described you will then have the least pull on the lower end of the leech and then the strongest pull on the upper portion of the leech therefore minimising twist in the leech. Please note that when sheeting the sail you will be pulling on the upper part of the sail first.
I have uploaded a simple (rough!) diagram to the Technical Forum Illustrations.
Not sure how well the bendy battens will work, in fact if they are too bendy they may not work at all. On a flat sail it is OK to have bend in the battens so that when sailing they describe a gentle curve along the length of the battens. If however the battens are too bendy, in stronger winds they will just develop a deep bend and curl around at the leech end of the sail, maybe even to the point of acting as an air brake actually slowing the boat. And then of course if they are very bendy there is a greater potential to break the battens.