I agree with others - your decks look fine, so why replace them? But if you do, then yes, bend them. If you carve from a single block of wood, the grain run-out will produce a grain pattern that looks terribly different from normal decks.
If you bend, do as Dave suggests - bandsaw a male-female jig out of a large block of wood that can be made by gluing up a stack of heavy lumber. Once bandsawn to the curve you wish your new decks to be (or a slightly stronger curve in case of spring-back), cut your bending stock over-sized as Paul said, and don't yet cut the curve of the decks. I've never had the edges crack off (not exactly sure what that means); I make mine over-sized because the three points of a deck triangle would take a tremendous amount of force during bending - not good on those narrow areas relative to the full width at the center. That is, the bending jig contacts a triangular blank at these three points and along a line at the middle of the deck. (Maybe Paul means that the two inboard corners are most likely to fracture in bending... agreed, along with the tip). So anyway, I make a trapezoid for a blank so there is no pointy tip and the angles of the sides are significantly less acute.
Soak the stock in water for a few days, then steam for an hour per inch of thickness, after which they can be bent using either some large, heavy-duty clamps or a frame and bottle jack. Leave the decks in the jig(s) for as long as possible to thoroughly dry (I have pairs of identical jigs for each shape desired, so both decks can be bent at once). After thorough drying (weeks if possible, depending upon wood species), remove the bent deck blanks, shape to fit the gunwales, and use a bandsaw to make the cutout in the amidships face. Do any final shaping and sanding before installing with bedding compound aong the edges that mate with the gunwales. All done!