Which person is more likely to fall under the ice: walking on the ice or crawling with arms and legs outstretched

Which person is more likely to fall under the ice: walking on the ice or crawling with arms and legs outstretched in different directions? Why do rescuers, approaching a person drowning in an ice hole, use special devices (ladders, crossed skis, boards, etc.), which they put under them?

A person walking on ice has a greater chance of falling under the ice, because he will have a smaller support area, and thus more pressure will be exerted on the ice.
Rescuers use special devices (ladders, crossed skis, boards, etc.) to increase the support area.