Trip dates: Dec 15-16, 2018
Caltopo map here: caltopo.com/m/LUG2
It's always a good idea to stomp down the snow for your campsite. This keeps your shelter a bit below the snow surface. This would reduce drafts if you are using a tarp but isn't so important with a fully protected 4-season (ie: 1-season) tent. The real reason to do it is so you aren't constantly tracking snow into your shelter and to allow you to walk around without snow shoes while you are melting snow/cooking and adjusting guylines. Note the imprint from my sleeping pad (this was after I packed up).
The Michigan Department of Natural Resources has a good page with descriptions of Coyote and Bobcat Tracks.