There is no easy/good answer to this issue.
IF the cable was in a sleeve (post tensioned) the repair is relatively useless when soil movement occurs and a crack "somewhere" is probably going to happen - UNLESS there is a complete web/network of these cables throughout the foundation. At least you appear to have many others running in both directions. And, if engineered properly, each probably has a "safety factor" of at least 2 - if not 3. The whole point to post tension is to keep the slab together and not allow a crack to widen if indeed one occurs. Do you have any other known "cracks" (however tiny) anywhere else in your slab that might indicate a weakness in the foundation design? Agreed, these post/pre tensioned slabs are one of the best ways to resolve soils with heavy clay, or in a flood zone, high water table, etc...
Indeed, with as big a trench in the slab as shown, the slab already has a massive "expansion joint" just waiting to crack - I'd be as worried about that big trench as the cut cable....
IF the cable was bonded to the concrete like a normal rebar (pre tensioned and then concrete placed), the repair is about as good as can be had and should easily suffice. Still doesn't solve the trench/expansion joint issue however.
The idea that the entire slab should be re-engineered and redone is way beyond cost efficient and not very practical.
What does your insurance agent say?? ...or rather, what does the contractor's insurance agent say to YOUR insurance agent??