I was thinking something similar. The centre block split when taking it up where you have those thin shreds. I have already cut into the neck and shave it down to allow it to sit in the pocket with a raised centre bit, although I may be able to do without.
I may just re-attach the neck and bridge centre piece and leave the middle alone - who knows, will have a play today, some of it will depend how nice the wood looks on its own.
I may as you mentioned before huger an entirely new centre piece made!
My main problem was the holes mostly in the wings. I'd tried a few alternatives but thought this was the best one.
One of the crew suggested putting some sort of patterned material under the clear pickguard which I have replaced in white.