Help identifying this mid century wall unit  

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Oh, understood.
I'm expecting it to be a random American unit--seriously. I, like you, just also enjoy a name 🙂
I live with what makes me happy, and not everything that makes me happy is an investment piece. Maybe that makes me a bad design enthusiast. It certainly makes me one of limited resources 🙂

Kep looking, but I really think...
Keep looking, but it lacks features I see with Danish - and by lack features I mean it has features you would not see on Danish items.
For instance, the bold handles - that would be an American style to build - the Danes were more subtle than this.
The black top - I do not imagine this on a Danish piece - it violates the flow of the piece and disects it - not how Danes made their stuff.
The angles back boards behind the modular units - Danes kept the lines straight - this angle is sort of added and tears the fine lines away. If the Danes added a curve, it was designed to be set with curves somewhere else on the piece.
All said, I could be completely wrong...
I have seen Paol Cadovius use the supports beneath the shelves as in the piece you show - the problem is though, he was never that bold with the handles or the back angles.
Good luck in your search.

Wébé is a dutch firm, Tom...
Wébé is a dutch firm, Tom Ado (walraven+bevers).
Your design, Magda, reminds me somewhat of Jens Risom. The angles, even the use of black formica.
Looks attractive to me, but priced a bit high, no?

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American is my guess too--
This unit features all sorts of inelegant details-- V-shaped back-splash, double-arm placement on rails, "brass-tone" fussy hardware, laminate surfaces.

Inelegant
Inelegant features is exactly right. I kind of enjoy how ham-fisted it is. And yes, the eBay price is high (they inflate because of eBay fees; took it home for much less by visiting the store locally).
I am fast learning that while buying/living with what you love is a nice sentiment, it is not enough to see the unit assembled and surviving in a showroom. We can't get this inelegant beast to stay together. You might say the upshot is that, since it is not anything particularly special, we can mod it until it stays put. But if I intended to mod myself a desk, I would've done so with cheaper base parts.
If anyone has any thoughts on this new development, they are of course welcome.