Here also two things interact. The diff and caster work together.

Caster makes the car roll sideways. This is because when you turn the wheels part of the rotation is in an up and down movement of the wheel (more with a lot of caster, less with small caster angles).

If you run a solid axle and have no caster and turn the front wheels in a corner, the car will have difficulty to turn in. This is like a flintstone car. If you were to use a lot of caster, the chassis roll will lift the inside wheel off the ground and the car will turn in much easier.

If you run a loose diff the car will turn in easy because the diff allows the rear wheels to turn at different speeds. If you would run a loose diff and a lot of caster, the turn in wouldn't change so much but you could lose a lot of drive out of the corner. The caster lifts the inside wheel and the loose diff will put all the power to the wheel that is off the ground.

So caster and diff will need to work together.