question about restoring a Madsen chair  

For a chair like that I personally don't think it matters, if you are talking about a Chieftain chair or an early Papa Bear or something then the issue of it original status might mean something. However I do believe rattan (cane?) seat chairs generally have holes bored into the frame to attach the cane where as the leather seat ones do not.

Makes sense; for this chair I doubt the version with
cane had any holes in the frame...

by the way, that’s the only chair produced by Madsen for HW. Quality wise that’s alright. What made Madsen not producing more for HW ?

They were a producer for FDB. Mogensen was head of design for FDB, Wegner was a friend of Mogensen and designed some stuff for FDB, I guess that’s were the connection came from. 

Thanks. FDB is the one that also produced for HW the "cheap" swinging chair.

There actually was an earlier version of this chair. Extremely rare to find but still the same frame got whatever type material applied to the seat as best I know.

What material applied to the seat ?

I guess the other thing to say about Hans Wegner’s design and CM Madsen is that if you look at who he worked for from say 1949 to 1959 (roughly) there are really two names: Salesco and Johannes Hansen.  Now we are accustomed to think of the Salesco companies: Carl Hansen, Andreas Tuck, AP Stolen, RY Møbler, and Getama as separate companies, but that is not how it worked back then.  Hans designed for Salesco and the individual companies piled their resources for marketing.  Getama was sort of the odd one that made “factory” furniture and did not participate in the marketing fully (I could check but I think that Getama did its own domestic marketing).  

And I do not think this is just random coincidence.  E. Kold Christensen was a very, very smart furniture salesman and I think that he had Hans Wegner on an exclusive contract to Salesco with an exception built in for Johannes Hansen.  I do not know how the CM Madsen chair happened at all, but that it did was “exceptional” in some sort of way.  I think it was in 1954 that it was designed.  I have a document that shows this and the ultra rare original version (I could check).

In other words, Hans Wegner was not a freelance designer who just designed for anyone like say Johannes Andersen or Kai Kristiansen (which has made them ideal targets for false attributions).  

So the question of why the CM Madsen chair happened is actually a very good one.  I do not believe the contours of the question or the answer have anything to do with the quality of CM Madsen’s production (that was taken for granted).  It has everything to do with who else he was designing for, when, what, for what market, the production budget of CM Madsen.  Unfortunately much of that is probably irretrievably lost to history.  

This is a story we all know more or less, however can you post the picture with the ultra rare version of this chair, which I actually can't see how it is because it's either a cane version, or leather. It also came either in oak or teak.In some cases, the leather sit is folded inside the side rails, in other cases it goes around it.

Maybe I'll be surprised !

So, where is this rare W2 chair ?

I just noticed that it is model W.1

Oak and fabric, although I assume that leather was possible. 

rather interesting. so the model with the fabric or maybe leather inside the frame is W1. Guess probably noone ever realized this. What catalogue is that ?

Thanks for sharing

There is also the case of no stretchers between the legs. Brugkunst 1958

Perhaps not entirely relevant in answering the question at hand, but quite a lovely long form video on a set of these being restored, well.

https://www.youtube.com/watch?v=K6vBPeF4xBY