I believe the weave underneath has a slight effect on stiffness although I suspect you would be hard pressed to be able to id the k cf used in a frame other than what is visible. The layup is going to be more influential in terms of ride characteristics as is the geometry and shape off the frame. A large BB shell and chain stays will stiffen a frame. Aerofoil shaped seatpost downtubes seatstays etc will make the frame more aero. The top end sellers talk a lot about how their frames use certain layup procedures which cheaper open mould frames make no claims on. Would you notice it riding as a hobby, amateur racer, tt'er, probably not much.