Quick answer: Warm-season grass is dormant and brown, it needs almost nothing from you except staying off it when it's frozen. Tall Fescue stays green and may still need an occasional mow on mild days. Winter is also the best time to act on soil test results and get equipment ready before spring.
The quiet season, mostly
Winter is the one season where doing less is usually the right call, at least for warm-season grass. Fescue still needs a little attention.