" The record coldest October was in 1925 with a mean of 42.9. That October had 4 days in a row with highs in the 30’s with one day of a high of just 30. There was also 7.5” of snow that October."
Iirc, 25/26 went on to be a cold and snowy winter in Michigan.
"The most snow fall of 8.4” fell in 1967 (the winter of 1967/68 there was just 55..1” of snow fall)"
Then there's 67-68, the year following the big winter/storm of '67 which would argue that a snowy October is NOT a good omen.
If there is not a set correlation between Oct and the following winter, all things being equal I would still vote "NO" to a snowy October. If for no other reason, than to save the snow for when it counts and can stick around longer.
October '89 snowstorm and more recently Oct 12th 2006 come to mind. Neither following January was worth anything in the snow dept. at least for SEMI.