[Arran]

The veneer in question looks like it may be straight cut French walnut, I think, it doesn't look like quarter sawn veneer nor does it look like they bothered trying to bookmatch the grain on the right and left shoulder, which they often did. Normally they would have used two layers of veneer going over solid wood, there would be a layer of maple, beech, or poplar, on top of the solid wood with the grain of that veneer running perpendicular to the solid wood, then the finish layer of walnut veener would have it's grain running perpendicular to the underlying veneer. The biggest issue you may have with re-veneering the shoulders is that one shoulder seems to be warped or have some sort of water damage. If you were good with carpentry I could offer some suggestions on how to fix that warpage but I don't know what to suggest otherwise.
Regards
Arran