Not quite.
With an open differential both wheels are ALWAYS putting the same power to the ground. It's not "three wheel drive" or "one wheel drive". One wheel can be spinning and one can be stopped, but they are experiencing the same torque through the drive axles and putting the same driving force to the ground.
Open diff means equal torque and unequal speed.
Locked diff means unequal torque and equal speed.
So when you lock the differential, both wheels will spin, but one is experiencing more torque and driving the tractor with more force.
In four wheels drive and the vehicle turning a corner, there is slipping against the ground because the front and rear axles are making a different circle, or traveling a different distance. This is with no center differential in the transfer case to allow different speeds between the front and rear axles. So there is binding, but it's not a big deal unless the tractor is heavily loaded and on dry pavement.
Watch this video for better understanding:
Around The Corner (1937) How Differential Steering Works - YouTube