Radial tractor tires give you a larger contact surface than the same size bias ply tractor tire at similar pressure.
Radial tires will float more and have less compaction then the same size bias tire.
I think they "squat" more than bias tires. Different brands have different treads. Firestone is famous for their 23 degree tires. They do well in snow and mud. I have Mitoch tires on my big tractor. The bars are 45 degrees. They pull great in mud, but not as well in snow/ice.
Radials have "squishier" sidewalls so they aren't usually as durable as a bias ply. But that squishing gives them a better ride, less compaction, bigger footprint, etc.
Having had both I'd pay the extra for the radials. They ride better, wear better, and have better traction. The only thing I qustion is how much the fronts squish down with a heavy load on the loader. You can also plug them. I plugged one over 5 yrs ago and it's still holding.
Radial if you can afford it, better ride and ground contact. And don't put too much air in them , my lighter tractors like Kubota unless I'm carrying a heavy load I run 5-7 psi in them.