No. The 20x10x8 tires are well matched for a K57 or K46 transmission. Chains and two 42lb suitcase weights on the back and you’re good to go.
You occasionally see box store JD’s with the larger 23x8.5x12 tires on the rear. It’s nothing more than a marketing gimmick to make the consumer think it’s a bigger tractor. The larger rear tires offer a slightly smoother ride and a bit more top speed but at the expense of torque and transmission longevity.