Re the degree of flex found in a SUP, I am still not convinced that it plays much of a role. A pro riding a 2 1/4" thick board with one layer of 4 oz would definitely notice the flex but a 4 1/2" SUP with 2-3 layers on the deck?
The weight of a SUP plays a huge role in high performance surfing in waves under 2 x overhead IMO. Nothing to do with dispanning, but a lot to do with responsiveness and acceleration, not to mention swing weight through a non carving turn - eg reos, foam bounces, even airs (for some

).
Modern SUP manoeuvres are starting to resemble shortboard style tight snaps where the board rotates 180 degrees through most turns - much harder to achieve on a heavy SUP.
I reckon if you can afford it carbon is a great choice for a lightweight SUP but only if combined with normal glass (ideally S glass) to improve impact resistance. My gun has a full layer of carbon top and bottom (plus normal glass) but this was about improving stiffness to avoid snappage and so far so good.
My short SUPs are all conventional glass and weight in around the low 5 kilos before fins and deck grip. I actually believe that if you are after that nice flexy rebound feel you can achieve that to a degree, using plastic fins with tonnes of flex (don't laugh).