A "deep tine" aerification using a solid (vs. coring or hollow) tine has many benefits.
It leaves an open hole throughout most of the winter allowing melting snow and ice a place to evacuate. These open holes fill with water and freeze, causing the soil to expand and contract. This fracturing of the soil is another way that nature aerifies during the winter and spring.
Late fall aerification provides air an avenue to reach the roots of putting greens. Air is as important as water for the growth of healthy turf.