hokie66: I think the OP is referring to 'through-thickness' (i.e. full-depth) slab repair, as opposed to partial-depth repair.
Alan CA: If the damaged area is both large (in area) AND more than 50% of slab depth, it if often then a candidate for full-depth repair - BUT this is also influenced by the technique of concrete removal.
For example, if concrete jack hammers are used and the slab is rather thin, then such a technique cannot tolerate more than about 50% of slab thickness removal without damaging the good remaining concrete.
However, is hydrodeomolition is the concrete removal technique, then you may be able to justify greater slab depth removal/repair before you consider full-depth removal and replacement.
If also depends on the type of slab: one-way, 2 way, post-tensioned (especially unbonded PT), and also temporary shoring, existing reinforcement, etc.
Also depends on the cause of the damage (water intrusion, freeze-thaw, chloride, ASR etc etc), and the expertise and experience of the contractors too.