Unlike the final game, Cold Heart followed a new female protagonist called Jessica Chambers. When Jessica decides to take a trip to visit her parents she becomes trapped in a huge snow storm and ends up following an ambulance to hopefully a safe location. What she doesn't realize until it's too late is that instead of a safe location she ends up in Silent Hill.
Cold Heart would have still contained psychological profiling throughout the game which could be shared with friends throughout the game. One big difference though is combat. Unlike Shattered Memories, Cold Heart featured "As Real as it gets' Melee" which involved improvised weapons.
Overall the original idea seems rather interesting and i'm somewhat disheartened that it was never made into the final product.
You can see full scans of the Pitch Document below.
Would you have liked to of seen Cold Heart as a game?