For shit's and giggles I dug through every time in snowed at PHL in October since 1884 and the corresponding winter totals. Outside of the 2 duds(72-73 and 11-12), it's actually fairly encouraging albeit a very small sample size.
So it has snowed(T or more) 15 times in October at PHL since 1884.
Most snowfall in a following winter was 41.8" in 1957-1958
Least was Trace(0) in 1972-1973.
Median of those 15 years was 20.9", right around average.
Mean of those 15 years was 22.3", a little above average.