Well that suggests you may have a fault Jack.
Traction control is an evolution of ABS, using the same sensors.
During braking, a locked wheel is released to allow controlled rotation to maintain steering and a vehicles direction.
ASC/ESC uses individual brakes to help prevent a vehicle spinning out
While Traction control should attempt to get drive to wheels with sufficient road grip. The only way to achieve this with an open diff is to brake the spinning wheel. Its probably not going to lock it but apply resistance to force drive to the opposite side of the diff. Its almost like an exo LSD.
The electrickery seems to be a hindrance off road when a driven axle is spinning more than a set level over the passive one, then power is reduced to prevent uncontrolled wheel spin. I assume the boffins are mainly concerned with driving on bitumen.
On cars (rear wheel drive) with open diffs you can sometimes get yourself out of a slippery spot by lightly applying the handbrake to achieve a similar result.