It is a sport that takes place primarily in the winter: it is not a sport founded on the principle that snow and ice are slippery, which is the point of the matter as far as the IOC are concerned. (Hence my bridge club analogy above)
It's not, it was founded as France ( and probably lots of other conntries ) as something to do in winter.
But it snows in winter, or at least it used to, and therefore its one of the weather conditions that are all just part of the sport.
If racing racing on snow it a requirement for being in the Olympics one every four years then so be it.
What happened in Italy at the weekend is part of a big race calendar problem wholely created by the UCI and administered by Flanders Classics.
Yes there were crashes yesterday, but nothing untoward, as riders, support crew and tyre manufacturers learn to optimise the conditions.
Get the calendar sorted and with full field of entrants and its all good.