You tell me what's the difference between these two scenarios, then i'll tell you from wabco point of view
1. unlocked central diff, FL wheel turns faster than FR and RR faster than RL
2. locked central diff in the same situation
there can be a variety of all kind of such scenarios and in each situation the ABS system will behave accordingly... the gist is that the ABS system when it comes to TC has a delay compared to mechanical actions
As i said it's more complicated than it appears, and the main issue is exactly the fact that the ECU doesnt ''know'' the CD is locked and will act like it isnt using brakes to equalise the axle speeds based only on wheel speed inputs while the axle speeds are already similar due to the locked CD