Yes I think you’re right about why lots of English-speaking skiers do “big name” stuff. But there’s other “big name” stuff that actually has more interesting _skiing_ than the Chamonix - Zermatt HR—or else a higher “density” of the scenery stuff people are likely looking for in the HR.
Simple better alternative is to spend 4 days around Chamonix and 3 days around Zermatt (with local guides)—and skip the hut-to-hut stuff in between which doesn’t include good _skiing_. Yet simpler: 7 days around Chamonix. There’s nothing stopping you from staying in huts while you’re around Chamonix or Zermatt—as long as they’re used to get you close to great _skiing_.
So here’s my start on a list of “better” big name stuff:
around Mont Blanc:
* Three Cols tour (could be done w 2, 1, or 0 hut nights)
* Aiguille d’Argentiere
* Col d’Entreves or Tour Ronde or Punta Helbronner starting from Aiguille du Midi and finishing down Mer de Glace to Montenvers.
* Breche Puisseux
* Mont Blanc: climb up by the “Three Mont Blancs”, descend north side.
* Mont Blanc (or Dome du Gouter): climb up from Grands Mulets hut via north Ridge of Dome du Gouter, descent north side.
* something starting at the Flegere lifts and ending at the Buet train station.
(plus several other great tours with English-language guidebook descriptions).
around Zermatt:
* Dufourspitze NW side, finishing on W ridge mixed rock/ice climb.
* Signalkuppe + Zumsteinspitze from Monte Rosa hut
* Castor + descent Schwartztor (from Klein Matterhorn lift)
* Liskamm
between Chamonix + Zermatt:
* Arolla - Dix hut - Vignettes hut - Arolla loop (with 2 or 1 or 0 hut nights)
. . . various side trips possible.
* Arolla - Bertol hut - Col du Mont Brule - Arolla loop (with 1 or 0 hut nights)
. . . (or for either of those two above, optional finish in Zermatt).
Savoie in France:
* Grande Casse
* Grand Bec by the loop route in the Cabau (Olizane) guidebook.
* Mont Pourri
* Dome de la Sache by the loop route in the Cabau (Olizane) guidebook.
* Aiguille de la Grande Sassiere by the loop route in the Cabau guidebook.
* Carro - Evettes - Averole traverse: Yes it’s hut-to-hut, but with skiable peaks.
Ecrins in France:
* Dome de Neige des Ecrins.
* Grande Ruine (and various other tours from Refuge de l’Alpe de Villar d’Arene)
* various tours from la Berarde and nearby huts.
(plus lots more in France)
central Switzerland:
* Berner Oberland 4000m peaks—huts with _skiing_, and no feeling of a need to move on to another hut every day.
* some of those 4000m peaks around Saas Fee must be worthwhile (though I haven’t done any yet).
eastern Switzerland:
* Piz Bernina (not often in condition for best skiing approach)
* Toedi
It used to be that we did the Haute Route because it was the only thing we could be English-language guidebooks, and because we hadn’t heard of much else.
Well nowadays many of the tours listed above do have English-language guidebooks.
And if you’ve read this note this far, now you _have_ heard of them.
Ken