I suppose you could go for some more on-axis cuts, but the crystal planes are pretty restrictive on what you can do. You'd end up having super long and narrow pieces and such.
There will of course be long and skinny pieces. These will be much easier to recycle than the unused portions around the edge of a circular wafer; they need not leave the facility that cuts the wafers.
The end result is rectangles of a standard size in one dimension and varying side in the other dimension.
In order to have uniform rectangular slices of the silicon crystal, you'd have to slice off horizontal cylinder segments. And that would defeat the purpose because if you just used circular wafers you'd have been able to get a couple dies out of that area.