I'm no expert on any means on snow and ice, but when Mick referred to "dangerous" in relation to snow and ice, it was combined with steep and dangerous gradients and cliffs. Dangerous enough without slipping and sliding on ice.

Claydog's previous outfitter, a Kiwi who also outfits in NZ, told me about an incident with a fit young American hunter who didn't come down the same place as the he, the guide told him to. No snow or ice, just a tumble. Broken pelvis. Three days huddled together for body warmth, until rescued. And yes the client was crapping in his pants for three days as well.

I think Mick was smart in not risking ice on sheer cliffs ...

I think a pair of those crampons would be very good kit. And an ice axe/ staff thingees. I remember one Aussie hunter hunting in the NZ mountains a lot, mentioned he always used one.