The way to pick up more snow detail is to create contrast between mids/highlights when grading. Cinestyle literally doesn't give you any more detail. It simply compresses an image into a bit depth that is already narrowly defined in the first place.
The whole Cinestyle fad is like taking apart a sandwich and claiming you've made more food because it's spread out more, with complete disregard to the conservation of matter. You aren't gaining anything.
8-bit cameras need to be tweaked in-camera to look good. You can get away with basic adjustments in post, but the Log-C (shooting flat) methodology is purposely designed for cameras with more dynamic range, bit depth, and color space. To apply the same technique to an 8-bit 4:2:0 camera is just plain laughable.
And if you are going to ignore my advice anyway, at LEAST underexpose by 1 stop. The "flat" look people desire is the result of A) soft light and B) technical underexposure. Lots of DSLR shooters have this mindset that everything needs to POP off the screen (just stop), which directly conflicts with the diffuse aesthetic your purportedly seek. As a result they shoot flat but try to pump up the colors and contrast and the whole thing becomes a mess.
If you want a good flat look on a Canon DSLR, shoot in neutral with sharpness and contrast turned all the way down (leave saturation and tint alone), and underexpose everything by about a stop. The image will look good prior to hitting your hard drive and it will save you the hassle of trying to stuff 10 pounds of shit into a 5 pound bag.