If you're talking about the fabrication method described elsewhere as "layertoning" (stacked laminations of flat sheet goods), be aware that regardless of your patience and skills with router /sanders it is extremely wasteful of materials, and while it can allow some very interesting designs, there's no consensus as to the sonic advantage for a back loaded horn.
OTOH if you're talking curved as in bending thin sheets of veneer, rubber ply or thicker KerfCore, etc., the material yield can be much better -although the time factor will still be higher than conventional rectilinear /flat panel construction. (and the last portion of the previous paragraph would still apply)