I don't think Corey is going to come in... MAYBE to start the third.
If this were a regular game in the Prudential Centre... Corey would come in after that 5th goal. But outdoors, in the middle of the snow, when Corey is cold (literally). Sorry, you want to start the outdoor game, this is part of it. It's not fair to bring the other goalie in under weird conditions without any time to prepare.
Also, Lundqvist sucked in the first... but had to make a total of ZERO good saves in the second until it was 5-3.