No, not really. Back in the bad old days of mountain biking, a rut was almost a guarantee that you were going to be eating dirt. Once the front wheel is in the rut, you can't countersteer to turn and climb out of the rut. The front wheel even with knobbies still just ground along the edge of the rut and eventually slammed you to the ground.

Front suspension was a god-send to mountain biking. The front suspension doesn't just offer comfort...that's actually a minor point of using it...it offered more control, especially with ruts. The side of the tire could find something to bite and the shock let the wheel climb out of ruts without having to steer out of them. You could also "pogo" the wheel out of the rut to the surface above it and climb out that way. If you are going to ride anything that is rutted, a front shock will help with control.

Fat bikes probably aren't going to get trapped in a rut the same way since their tires are so much wider but I doubt that they can climb out of a rut once in one.