I also wouldn’t recommend commuting by scooter in the snow. I’ve ridden in very light snow (1 in.) snow and heavy rain and didn’t have any issues with the scooter (IP34), or loosing control, but I had little traction, so often braking was just slowly sliding to a stop.
IDK what NYC does with the roads when it snows, but I don’t think I’d recommend commuting, with snow, in traffic. I enjoyed a fun ride in the snow, but I don’t recommend it to anyone, I strongly caution against it for anyone who doesn’t have experience riding bikes or other PEVS in the snow.
If you’re not deterred, check out these videos for some Ideas: