I wouldn't blame the mushy bows on only the flat sawn.
It could have been the thickness, width, design, etc.
While 1/4 sawn is stronger, and my choice for laminated bows, every selfbow made is flat sawn.
A selfbow is made from a single stave from a tree, just like the tree grew and nothing glued onto it.
Other bows built from boards, or bamboo, glued together are labeled laminated bows.