Every insulated bottle marketed at skiers glosses over this, so here's the straight version.
Double wall vacuum insulation keeps the water inside from freezing for hours. The nozzle is a different matter, because it holds a small amount of liquid in a thin channel exposed to the air. In genuinely cold conditions, any bottle with a drinking spout can ice up there. Hydration bladders are worse, because the whole hose is exposed.
Two things help, and they're what we'd tell a friend. Blow the last bit of water back down the nozzle before you close it, so there's nothing sitting in the channel. And carry it inside your pack rather than strapped to the outside, where a jacket and your own body heat do most of the work.
Do that and you'll drink all day. The bottle isn't the problem, the last teaspoon in the spout is.