Concrete come out for three primary reasons. One, it creates an unwanted fulcrum when the leaders get pushed together. , Removal of concrete will help prevent failure/fracturing at the base of the tree.
Second, Inspection of decay and damage in that specific area is necessary to confidently recommend removal or cabling or pruning.
Third the concrete will hold moisture in the most senstive area and furthering decay. Darkenes and mositure are key for decay organisms proliferation. gravitational weight may also add to the potential for fracturing or failure.
May be more reasons but reasons for it to stay are zero at this point.
Hope that answer your question.
The job was loser $ wise. Cooked my dad's hammer drill and almost two days for the full removal of all the concrete.
As we all experience not every job can make money.
We did have fun and it is a cool experience, learning and sharing and saving an otherwise condemned tree.
I will make a little of it back with the prune and the recable and again in couple of years to reprune and again and again.