Putting a drawer into a curved front is a problem, and there is only one honest way to solve it.
The body of this table swells outward - it is wider in the middle than at the ends, and it curves in section as well as in plan. A drawer front cut separately and shaped to fit will never quite continue that curve: it will be a fraction flatter or fuller than the carcass either side of it, and the eye picks up the discontinuity as a slight step where the drawer meets the body.
So the front is not made separately. The carcass is built and shaped as one continuous curved mass first, and only then is the drawer opening cut out of it - the piece removed by that cut becomes the drawer front. Because it was part of the body a moment earlier, its curve is the body's curve exactly, and the grain runs straight through from carcass to drawer and out the other side.
The saw kerf itself is the only loss, which is why the gaps around the drawer are as fine as they are. Close it and the front disappears back into the curve it came from.