Like many conservation laws, it has a number of reasons.

The hens leaving the nest, and feeding. As well, nesting hens getting disturbed.

It's also an issue on public lands, being Spring (warming weather = more people out), and turkey hunting having agood amont of hunters in NY. They don't mix well with increasing human trafficon public lands (parks, etc.)not related to hunting.

Hikers, bikers, etc. have a right to that land as well, and it contributes to the law. Similar to some southern states not allowing Sunday hunting.