the ultimate SUP would flex, but I doubt if a SUP can really flex like as much as a surfboard due the needed tickness without breaking.
Most of them are too fat and long pump on a wave anyway.
The closest thing that stays in one piece I know are the Hobie Torque and now RAW boards with out a stringer for flex but Carbonrails to offer enough rigidity to prevent breaking....awesome looking boards but never tried one.
I love the idea behind it but are very happy with my rigid and heavy Starboard WP8.10 Silver and Naish Hokua9.0 as well.
Main reason to NOT go carbon is just the price tag: My 2th hand 8.10did cost a 3th of the 2.3kglighter Carbon babies in the shop.
Maybe if i ever win the lotery...