The main difference with this body is that the top and back won't be domed, they will be curved. The sides will be shaped in this sanding dish which is curved across its width, but straight along its length. It's a more natural way for the top and back to be deformed by only bending across the grain.
Some luthiers do this, or something very similar, a notable one being English luthier Stefan Sobell. People call it cylindrical but it isn't. It's the shape you get if you support something at each end and apply force in the middle. I think it's a spline curve (but I'm not sure). Nigel Forster made a lot of guitars working with Sobell and says they were
not cylindrical. So maybe Sobell's are this shape, but he tends to keep that sort of information to himself.
I made the 'dish' by supporting a sheet of MDF along each edge and screwing it down along the centre line. The intermediate supports are just glued in place where they touch to make it more rigid.
I now know that this shape
is a spline curve, because I drew a spline curve in CAD through two points 500mm apart with a 20mm deflection at the centre. Then I put a straight edge on my dish (perhaps I should call it a trough?), and measured the height of the curve at several points. I put those measurements into CAD and drew a spline curve through them. The two curves (allowing for errors in my measurements) are identical.
Making the back this shape will also reduce the body volume a bit. The green line is the spline, the red line is the radius of the back on the first body.
I made patterns for the sides the same way as before, by placing the mould on the 'trough' and scribing round it. I increased the amount of 'wedge' slightly so this is what an end view should look like.
And this is how the side templates turned out. That would be a lot of wood to trim off if I bent them straight and shaped them afterwards.