Too agressive in snow is like not enough. On hard packed, groomed trail it would provide great hook-up, but on the other hands, the guys behind you will hate you. In powder, it will dig more than anything...
We ride with maxxis 4-snow, ams Zipper around here and it is a good compromise. Enough grip to do wheelie on the trail and to not tear the trail. If you don't have these, you can't go in the trail, with a sport atv.
I've put some crazy carpet skid plate ( ghetto way ) under my rappy, and you can basicaly go "everywhere", where there no more snow than the height of the front tire. Except if you like to shovel and lose time