Yes, I too have come across the occasional eBay genius. It happens.
I don't know what type of adhesive you plan using for the veneer on the bendy bits, but I've built large cabinets with expensive veneer onto curved surfaces and found using a good contact adhesive (Thixofix) on both surfaces and allowed to go only just tacky dry was best for me.
Obviously great accuracy is needed to get the veneer lined up before the glued faces come into contact and 'grab', as you only get one chance.
The trick is to first lightly press the veneer down, then rub firmly along the grain with a softwood block, working from the centre of the panel outwards. This gets the veneer tightly down onto the panel with no lifted areas. I'd suggest a couple of trial pieces if you adopt this method.
Should any bubbles or lifted areas become apparent, they can be persuaded to stick down with a hot iron as long as they have had a proper adhesive coating originally.
I've had beautiful results.
It is impossible for anything digital to sound analogue, because it isn't analogue!