I personally find a mud terrain tire to single purposed. I have ran the BFG Ats in all sorts of weather and trail conditions. I also only try to stay on class 3 trails or less.
Your results may very.
All depends on where you live, I guess.
Here in Ohio I've run ATs, radial MTs and aggressive bias swampers on my Jeeps. The MTs tend to be the best all-round tire for conditions where I go, KY, IN, OH and TN. Too often we run into rain-slicked trails (not necessarily muddy) and the MTs do much better than the ATs and are nearly as nice on the road. The swampers are awesome on the trail but are absolutely horrible on the street.
So yea, lol, results vary,