Why the season is what it is
The physics, in one paragraph, because it settles every other question
A drainage channel is only walkable while it is drained and frozen. That is the season.
In summer, meltwater runs off the surface of the glacier, finds a crevasse and disappears into it, carving a channel through the ice on its way out to the plain. That channel is full of running water and completely inaccessible. When the cold arrives the melt stops, the channel drains, and for a few months there is a dry passage inside the glacier.
Guides can only take people into it while the ceiling is frozen solid. Once the melt restarts in spring, the roof thins from above, water starts moving again, and the passage becomes something that collapses rather than something you walk through. There is no engineering fix and no amount of money changes it.
That is why every honest listing gives a season rather than a date range you can book year-round, and why the specific opening and closing weeks move from year to year. A cold October can open the season early; a mild February can close a particular cave while others stay open.