"I suppose areas with lots of snow will have problems of collapse at the base."

It was issues with the base ring of the Antarctica south pole dome which caused the need for its replacement. Seems one year they heard a loud crack and its investigation found other ring problems caused by the settling snow/ice below it.

I was at Mcmurdo Antarctica for a bit in 74-75 when the dome was being completed. I heard then that it took longer than expected to complete because the cold caused issues with the materials fitting together correctly, I've wondered if maybe the cold caused enough prefab material shrinkage to throw the geometry off a bit. That said, bad weather and loss of an aircraft probably also slowed its construction.

The dome itself wasn't heated but was used to protect the buildings and items within from snow and wind.

a quick read U.S. South Pole Station | NSF - National Science Foundation

here's a link on building it Building the Dome (southpolestation.com)