I recently got back from a long (100-ish mile) snowshoe trip and carried a hard sided Nalgene (and one soft Nalgene in the pack). Nalgene with the wide mouth is just about required in cold conditions. Narrow mouth containers will freeze and it's time consuming getting the opening thawed.
I also took a plunge in a cold creek on one of our many fords. That night I could tell I was going to get chilled. Before I went to bed, I boiled up 32 oz, put it in my Nalgene (insured the lid was tight about five times!

) and then into my bag. It really (really) helped out.
It's possible you could do that with another bottle, but I knew I could do it with the Nalgene without worries.
In warmer weather use whatever bottle you want, in cold weather might not want to ditch the Nalgene.