I have only driven in the snow a few times and it drove quite well. I have noticed that it sends power equally 50/50 to the front and rear drive shafts. As you know, the Levante has sporty all season tires (mine) or summer high performance sport tires that don't perform as well in the winter as winter sport or winter snow tires. My best snow vehicle is my BMW M3 on winter performance tires, but it does not have the clearance for unshoveled deep snow. I have a Range Rover also and I feel that it is only slightly better than the Levante due to the tires and not enough to make it a decision in purchasing. The RR has a stronger turbo hit (lag) and is not as smooth as the Levante, so making the turn out of my neighborhood to the busy street is much better in the Levante. The Levante has an I.C.E. mode that is really, really nice in the winter. I have no complaints about the Levante's snow capabilities. If it snowed a lot, I would get winter tires.
As an aside, I test drove the Velar. It is a very nice vehicle, but drives exactly as my RR (2016) but in a smaller package. The Levante and the Velar are on the opposite ends of the scale when it comes to fun driving.