Used a Nate on the front and a Larry on the back in the ‘Puffer.
I had a lot of trouble on the deep mud on the descent (‘Puffer riders will know which one). It seemed to me my bike was aquaplaning over the top of it, and my progress was mainly sideways there. At the time I figured the flotation of the tyres was the cause.
On thinking about it later, I realise that the Nate was saving me and it was the back tyre that was the problem. The Nate didn’t washout even when the bike was almost flat speedway style, and enabled me to keep the front wheel pointed where I wanted regardless of what the back wanted to do.
It doesn’t roll as freely on harder surfaces as the Larry, but on soft surfaces it rolls nicely.
So to answer the original question, the Nate is much better than the Larry in mud.