I would love to know why exactly snow was so widespread when temperatures were only around 2c at lower levels, was it the intensity? The fact is was a frontal feature? Etc.
The intensity means it takes longer for the snow to melt. As a result it falls further from the freezing line than light snow would given the same dew point etc. Light winds also helped and cold air aloft increased the lapse rate meaning the slice of >0C air was only quite short.