To save a person who has fallen under the ice, a wide board is thrown to him, not approaching

To save a person who has fallen under the ice, a wide board is thrown to him, not approaching the edge of the ice hole. What for?

If a person gets out of the hole with the help of a board, then the force that he applies to get out of the water is distributed over the entire area of the board, therefore, the pressure on the ice will be less than if he was selected only with the help of his hands. Therefore, the likelihood that the ice will fall under the board is less.