I am not sure, but I believe that there are two different transitions from the beach world to winter world. I believe that in first transition it just gets cold and here you can walk over to the button 1 with no issues. But there is also a second transition that is much colder and where you get killed if you walked around in it for too long. I am not sure, but perhaps I walked over to the button 1 in the second transition, and reach the button before it was Game Over, and then it perhaps got a issue because then was Game Over and should transition to the spaceship world at same time.