I have had both. Started with the Nitto A/T which came from Sportsmobile. Got about 28k out of them. They were slippery in the mud and in snow I was not confident with them in those conditions.
I switched to the Toyo M/T and they grip great! No problem in the snow and mud and I felt really confident with them. However there is always a trade off. The Toyo M/T like to dart and not track well at all. I added steering stabilizers to the front to help but they still had a mind of their own. The Nitto however steered straight and held the road surface great with no wandering. I also have Toyo A/T on my suburban and like them a lot with no wandering. Not the same weight as the van but they are a great tire in most conditions. The Nitto was D rated and the Toyo are E rated.
Here is my van with the Nitto's on it A/T
and here it is with the TOYO M/T