Amazing and gorgeous bow.
I think the takedown photo shows why longbows are popular in 2 pieces but recurves aren't though. A longbow in 2 pieces is a bundle of sticks which will pack efficiently, but a recurve is an awkward pair of parts which require careful stowing.
On the gripping hand, case designs for 3 piece takedowns are limited in size by the arrows so this perception would change if one showed the bow in the context of a cased set w/ arrows.
I'd be very curious to see what an optimal arrangement would look like, and suspect that while the case dimensions would be perhaps only a bit smaller than designs for 3 piece T/Ds, it would afford more storage space, in shapes more interesting than the rectangles I was left with:
http://lumberjocks.com/projects/75378