I ended up skipping it because it wasn't open when I was there (Opened June 30, I got to St Nikolas around the 22nd). I was also short on time and wanted to give us a 3 days (at least 2.5 allowing us to sleep in on that first day) as we were going back to go through the probably most difficult to navigate section between Le Chable to Arolla (which ended up starting Fionnay since Cabane du Louvie was the only one that was open when I was there).
I was still very happy with what we did and you really the entire thing is pretty incredible. You get the more of the feel (as Meckerdv said), the walker's haute route idea is more built up by the guidebooks since people think it's like doing the TMB. But in reality, they are just different sections that people do and the guidebook have put together. Different guidebooks will put different variants on it as well (for example this guy compares the 2 major guidebooks and his opinion http://home.earthlink.net/~ellozy/haute-route/planning.html). You can access the walker's haute route at different sections via public transportation or cable cars (and we definitely took the cable car down to St Nikolas when we were just going to walk along it to save our knees) so it makes mixing and matching and being flexible easy. There are also established tour treks you can make for any of these sections. (Such as TMB, loop around Moiry, Tour de Matterhorn, tour de mont rosa; heck I saw a crazy map at one of the cabanes where it was a tour that circled the entire area and included pretty much everything in those tours mentioned above). I also know I'll be back in the area and the europaweg is actually part of tour de mont rosa that I also want to do eventually.
A caveate in this is that I'm probably biased in my option about this because of the time I did the hike. Having done the TMB and again we did part of the TMB again this time to warm up, there is more of a social aspect to the TMB. Even this time in the very early season of the TMB (and clockwise direction), we saw and hang out with the same guy the few nights we were there. It was more social in that people were doing the main TMB route and it more a community feel. It was different we the Walker's Haute route, we met people but they were doing all sorts of different things and going different places. A lot were doing a section or so for the weekend and going completely different routes than we were or some were just going up to a high lake to fish. I'm sure that changes as the season goes into full swing, but I get the feel isn't not as social in that respects as the TMB. Maybe that also gave me the impression that it's just something that links a lot of separate amazing hikes together for the British Holiday.
Also, just wanted to add that it's very odd to be the only people at a cabane for the night. We were pretty sure the guy working there left after serving us dinner and we didn't see anyone until a truck drove up next morning when we were getting ready to go to give us breakfast.

