I find it impossible to get white-white snow on heavy overcast days, especially in areas that are in shade, however soft the shade. If you overexpose the required amount to retain white, or brighten the snow in PP, it loses texture and features. Maybe that's what some want. It's really a judgement call based on what you think is most important in the image.
Re this image, I don't think it is one of your better images. It is a nice image. The contrast between the snow and dark tree elements is striking and creates an ethereal quality that is the most dominant and appealing feature of the image. However, I don't agree with Larry. I think the whole image sits on the border of being too busy. It is the ethereal quality, the quietness of the snow-white scene, that most holds my attention. But the chaotic look and intrusiveness of the background trees dampens that feeling. At least to me.
JR