BFG AT is what I have, and they are great at everything, including winter roads (partly because they're 33 X 10.5 and narrower tires are best for winter roads). However, the BFG AT (and any AT) is very poor in mud.
Duratrac is a great "moderate hybrid" tread (hybrid meaning part AT and part MT) because it's great onroad and great on winter roads, and good offroad in general. I hear it's OK in mud. Probably the best onroad tire that still can get-er-done in most offroad situations (though it may struggle in hardcore mud). I think it's a reasonably durable tire, but not nearly as tough as the MTR-K or Trxus. However, the Duratrac is a lot lighter than those other two, which means the Duratrac would get best gas mileage for weight reasons and because it has tighter tread (smaller voids).
The MTR-K and Trxus are great "aggressive hybrids", or you might say the best MT on road. I'd say aggressive hybrids. Same thing by two different names really.
Both MTR-K and Trxus have many small AT center treads (like all good hybrids do) and aggressive outer treads. This greatly aids traction on wet pavement, ice, and packed snow.
The Trxus also has excellent and many sipes on all treads (another quality of an AT and also hybrids). This greatly aids traction on wet pavement, ice, and packed snow.
Trxus also has a soft grippy rubber that greatly aids traction on wet pavement, ice, and packed snow.
The MTR-K does not have sipes, but does have silica in the tread, which works like stud tires. This greatly aids traction on wet pavement, ice, and packed snow.
Both MTR-K and Trxus have large MT outer treadblocks with large voids that aid self cleaning in mud and deep snow, which is why they are excellent at those things.
Both Both MTR-K and Trxus are very tough and tear and puncture resistant. While those are good quality for hardcore offroad, it also is why both those tires are MUCH HEAVIER than the Duratrac. So they wouldn't get as good gas mileage as a Duratrac for that reason, plus their knobbier outer treads increasing rolling resistance.
If you only occasionally go offroad (like once a month or less), get the Duratrac. If you go offroad often (more than once a month), get the MTR-K or Trxus. IMO
Also, the Duratrac and MTR-K run 1/2" narrower than stated size and narrower than most brands of tire of same stated size. This is a good thing, IMO (because narrow is better on wet and winter roads, mud, and for gas mileage).
The Trxus runs about 1" narrower than stated size, which is an excellent thing, IMO.
The Duratrac runs short and slightly narrow, the MTR runs slightly tall and slightly narrow, the Trxus runs tall and narrow. What fits your lift best? If I had a 2.5" lift, I'd get Duratrac (runs short). If I had a 3" lift I'd probably the MTR-K (runs slightly tall). If I had 4" lift I'd get the Trxus (runs tall). I have a 3.25" lift and I plan to get Trxus next time, though fender trimming will be needed because it's really more like a 33.5 X 11.5 tire. Luckily, Trxus run narrow enough that will aid clearance to swaybar and LCAs.
The 33 X 12.5 R15 Trxus is really more of a 33.5 X 11.5 R15. That's excellent because there are many advantages of a tall medium width tire.
I wouldn't presume to say which tire is best. They're all excellent, and somewhat different, though all are versatile tires. It's up to you to figure out which is best for your terrains/needs, wants, and clearances.