You won't sink down very far in the snow due to melting underneath you. You'll see a little melting and sinking, but nothing significant.
Here's my gear list I used last winter in upper Michigan in 4 feet of snow and lows down to 9F with a snowstorm 1 of the 3 days.
* I used a BA Copper Spur UL1 tent instead of the inner-less Scarp 2. Having done that, in the future, I'll probably use the Scarp 2 fly only or a flat tarp or maybe just a bivy sack. The tent was a bit too cozy with winter clothing and gear.
* I didn't like the Heatsheets used as a vapor barrier. The strong plastic smell was overwhelming, and I couldn't seal it around my neck comfortably, resulting in a cool draft. I got out of it after only a few hours.
* I think I'm going to go with light GoreTex boots instead of GoreTex socks this winter. The GTX socks compress a little too tightly, and trail runners let snow into the shoe when it sneaks past the gaiter while sinking into deep snow (yes, with snowshoes). I did like the eVent gaiters!
* I tend to rely on fire for cooking, and I intended to use my wood stove or build a campfire to melt snow on this trip. I forgot that I was in a frequently used area, unlike some of the wilderness areas I'm used to where downed wood is fairly easy to find (even in deep snow). Getting enough firewood would have required either an axe, carrying it a long distance, or spending a significant time gathering it after making camp. Were it not for my companion bailing me out with melted snow from his stove, I would've had a serious struggle with dehydration that night. (Or had to trek in deep snow in a snowstorm for an hour to a stream in the dark.) Other than a liter from a single stream barely exposed under the deep snow, I stayed hydrated the rest of the trip by constantly eating snow. I'll probably start carrying a white gas stove in the winter, especially in high use areas. (An inverted canister would work, but I plan to do even colder trips than it can handle.)
* I also probably won't bring trekking poles on future snowshoe trips unless most of the trail is very steep. After managing to lose both snow baskets, the poles became useless. Then, I discovered that I can walk more efficiently on snowshoes with the poles. (I also don't usually use poles the rest of the year. I only use them in slippery conditions--light snow, ice, mud)