I just tested my newly updated cart in the snow to see how it does. Seems like about 6 or 8" of fluffy snow is about the limit....then it will spin out. This is with new all-trail 22" tires. Not too bad in my opinion. I had heard that carts are hard to steer in the snow.....but mine seems to be ok...definitely not a 4 wheeler...but not too bad. We may use it for ice fishing. I think the stability is improved with the offset wheels...even tho the cart is a lot higher now...for much improved ground clearance.
I used our cart (2002 EZ GO PDS) during the fall for getting around our land and during deer hunting. The quiet feature of the electric makes this the ideal vehicle to get to and from hunting stands (quieter and less scent than walking....and you dont get all "sweated up" getting to your stand). The biggest drawback on the "standard" cart was the lack of traction and low clearance.
After seeing its many uses and generally good performance.....I went ahead with my mods and improvements: 5" drop axel, 10" aluminum wheels and the more aggresive 22" tires, hd rear springs, flip/flop rear seat and a beefed up rear support post, ss brush guard, head and tail lights. The cost of all the improvements was about $1200. and seems like it was all worth it.
Prior to this...I had considered buying a UTV for the side by side riding on trails and the general utility.....but this works out pretty well for us....and its a whole lot cheaper (and more friendly to the land too). I think you can sneak up on the critters with this rig too...and not run 'em out of the area, as in a UTV.
I like the idea of my grand kids driving this around on our trails - instead of a 4 wheeler....and my wife likes using it for her maintenance work too (that flip/flop seat makes for a good tool carrier). Fun to drive....less chance of injuries, etc etc etc.
Last thing for me will be adding an inexpensive "chip" which allows me to control how fast it will go vs how much torque it will provide. I should be able to control the high limit on speed from between about 12 mph to about 25 mph...depending on our needs and who's doing the driving.

It's been a good winter project.