I've seen research that suggests Spring snow is not really impacted by warming climates, because the oceans are still frigid into early May, since they reach their coldest temperatures in Mid-March. No coincidence that the ice extent/volume peaks in March too for our hemisphere. Fall snow is impacted though, because Summer heat in the oceans lingers and the ice takes a bit longer to recover.
Super late snowfalls also seem somewhat tied to solar activity, there are pretty massive differences in the historical frequency of a last measurable snow after early-mid April in Albuquerque over relatively long-periods of time. The NAO seems to go strongly negative sometime between Jan 15 & Apr 15, or even into mid-May when solar activity is low and the upper levels (above 6000 feet) are supposed to be colder with low solar activity. For whatever reason, the effect has a limited window here, on/after Apr 1 to on/after Apr 14, wth the peak at Apr 7-12.
Frequency of Last Snow in ABQ by Date (1 = Dec 20, 43 = Jan 31, etc): Significant in Early April