I was actually smiling while reading your comments, why because at some point when I was reading the article above I thought as much (what if the blood is warmed or maybe incubated at 37° for sometime before transfusion).
But he later said some that made me reason otherwise when I came to see this below

People with cold agglutinin disease, besides reacting during cross matching or during transfusion, they can also react when they are in cold environments that cause their body temperature to drop. They usually experience frostbites and this reaction happens at the extremeties of the body,m which are obviously less hot.
The reaction can subside if they find themselves in warmer environment. In severe cases, the condition can to lead gangrene (death of tissue caused by lack of blood flow to the area in question).

I just responded your comments to show you are not alone on that thought oo
Thanks @cyprianj the the article I really interesting