The red block that Peckish showed is a just a variation of the 4PatchPosie.
Let's call them the QST Posies. Same concept.
Starching your fabric would be good idea because of the bias edges that will be exposed. You don't want to stretch them.
-Stack four layers of fabrics the same way you would for an OBW/S&W.
-Cut out squares. Just keep in mind that the FINISHED Posie block will be about 1.25" smaller than the starting squares you cut.
-Cut the squares on both diagonals. Now you've got 4 piles of 4 triangles.
-Sew each triangle section/pile together the way you would a QST (Quarter Square Triangle). Once the block is done, it will be pretty stable as all the outside edges are on the straight of grain. If you have any disparity in the block sizes, just trim them all down to a common size.
- Add multiple borders.
And that's that. I think it's a bit more elegant than the 4PP. And way less work and stress than a OBW. ;-)
As for cyd's orginal question, it really depends on if the selection is made up of blender type fabrics, or large scale Kona prints.
The lantern idea is great for the first type, but wouldn't work with the second group. And those fabulous layouts showcasing the huge motifs would fall flat with the blenders.
Do you have any pictures?