My inexpert thoughs:
Winter 2016 has generally been warm and wet, with Spring starting off in a similar vein.
If it's wet, it will be snowing if you go high enough, but lower / marginal areas will tend to get more rain and less snow, with what little snow that settles being soon washed away. In fact, if we had ski resorts at 2,500 metres, they might be having a bumper season, but places like Selwyn and Lake Mountain don't fare so well.
This is what seems to be happening this year. Higher places like Spencer's Creek are doing quite well (relative to the last 20 years or so anyway), while lower levels are struggling to retain cover: http://www.snowyhydro.com.au/waterenvironment/snow-depths-calculator/
Meanwhile, outside the Alpine areas, Snow Season 2016 seems to have mostly fizzled out after early August except in a few high spots like Shooters Hill.
Big snow events are possible up to about mid October, but that would involve a big break from the current pattern of warm wet troughs dipping down from the tropics followed by weak cold fronts from the West.