In a way we're talking apples and oranges. You're looking at premade panels wide enough to cover the top and I'm pricing raw veneer that will most likely need a little work squaring the edges and gluing into a panel before it goes on the top. I don't think the paper backed veneer will change the appearance of the edge enough to matter. Two plys of wood would though.
The biggest issue is trying to get the new to match the old. The trees Singer was using are long gone. The old stuff was wider, tended to have tighter growth rings and had better flake patterns than the trees being harvested today. Now to get that quality you have to pay a premium when you find it.
Rodney