That has a lot to do with things.
I change out tires when they hit 50% of original tread depth, and I only buy real good tires. Good tires makes a big difference in both snow or mud.
The emblem on the grill does make a difference in what can be driven thru.
In our hunting group there is Ford Chevy and Dodge, all are ext cab, all are 4x4, all are 150 or 1500 series, all are factory stock.
There is only one of them that always makes it through the mud hole on the road into our hunting area. It is not the driver, because the driver that always gets through can still not drive the other two trucks through the mud hole.
Yes I have been avoiding mentioning which brand does and does not make it. Just trying to point out there is a difference.