I would think during an event, the rapid build of pressures it would fail, such as twisting in half, or at least trying to. Interestingly enough, all structures are like boats, float in soil unless anchored in bedrock and break their back along their keel (center beams) dying like boats do. Temperature wise I was thinking just about caves, where the temp can be a bit lower, not anywhere near freezing, however. I wonder what temperature the mud in Manhattan is, which they freeze to set buildings on? One thing is that soil temps are fairly stable so that even in winter, at depth the soil wouldn't freeze, winter in the lower 48, the frost table only reaches down a few feet, not more than 10 iirc.
It is still a neat building and interesting concept, reminiscent of the Mars books where they lived in pits. In Traveller we have grav cities, like in the TTA book or Ringworld, the migrating city actually sounds a bit natural.