Multiple piece tops or backs ain't new, flat or carved, Seems like a lot of bending, jointing and clamping just to get around a few hours of carving and a few more bucks of wood. It takes me 2 days to joint and completely hand carve a top or back, or about 8 -10 hours total. As such, I see no time advantage to multiple bent piece tops.
Then there is the aesthetics of its look, and in MHO
If I was gonna laminate then it would be 3 ply, not edge jointing...at least that way you still have the "look" not to mention structural strength.
The only time I joint a top or back is if it needs to be wider and then only as a absolute last resort...unless of course its a bowl back, but thats a different kind a nightmare.
thats my take
blessings
the
Padma