Sure appears to be a matter of going too fast, hooking something nearly immovable with the box teeth, causing breaking or cracking the casting, which led to failure. But that is just conjecture, based on the failure and based on how far the right wheel was dragged before coming to a stop. That is a long ways to slide.
And we don't know the history of how/what this tractor was asked to do prior to this catastrophic failure.
I've passed on this story before, that the local JD dealer had a broken differential casting on a 4100 in the shop. The new casting was replaced by Deere although it was suspected by the dealer and Deere reps to be abuse. I was asked to deliver the tractor back to the owner when repaired. There the story unfolded.
While unloading the tractor I could see what caused the abuse. There was a large elm tree stump in the yard with a chain still wrapped around it. The tire marks clearly showed where the tractor had been used to try to rip the stump out, by getting a run at it and jerking on the chain but only spinning in the dirt. Also present was a load of concrete blocks use to weight the tractor down. This was just a matter of time that this abuse would bust something.
But Deere stood behind it in spite of the abuse.