Yes, player 2 loses with extremely low probability even for a 1-bit hash (on the order of 2^-256). For a more commonly used hash, or for 2^24 searches on their second-last move, they reduce their probability of loss by a huge factor more.
Yes, player 2 loses with extremely low probability even for a 1-bit hash (on the order of 2^-256). For a more commonly used hash, or for 2^24 searches on their second-last move, they reduce their probability of loss by a huge factor more.