Yes! As I was looking some of the things you'd mentioned, I saw a desk for *
gasp* $5,000! Just a wooden desk!

I guess if you go with a well-known designer the price goes up? Are we paying for the name as well as the quality?
I'm thinking something like a Louis Vuitton purse, we pay for the name and the quality knowing that it will last us years and decades!
I need to go look at that Dania desk again just to be sure!
Which company made the wooden desk for $5,000?
At that price, I would expect the craftsmanship to be outstandingly good, and the wood used to be solid, and relatively expensive (for which read, rare). Indeed, for that money, I would expect to be able to afford a decent antique.
Sometimes, smaller companies can make equally good stuff, and they can make to order.
I took a look at your link, and have to say that - personally - I don't like
any of the desks Dania have on offer there. They are too clinical for my taste, and lack elegance.
Re wood, if you are prepared to pay a bit extra, you can easily get solid wood, rather than that horrible MDF stuff which a lot of so-called wooden products are actually made from.
Moreover, I glanced through their chairs, too, to see the sort of thing they are offering, and the price range is frankly, quite striking.
One further thing to bear in mind re desks; having worked out in your head what sort of design you want, and what materials you wish it to have been constructed from, the other thing to be absolutely certain about are the measurements.
My only quibble re antique desks is that most modern houses are too small to comfortably contain them; while I love them, many of the desks I have seen are just too big for the room in question.
In fact, you want a building where the rooms are in proportion to the furniture, so make sure that your measurements are right, or - which is easier - furniture which is proportionate to the room where it will be used..