Rex
Dignified but Approachable
Looking at the picture of the damage, it may be in danger of peeling off now....take it as it is except it starts to peel off.
Look at the right-hand side of the exposed wood. The fracture in the finish is clean and complete. It goes down to the wood and then stops. The missing piece of finish has fallen away, leaving the wood almost completely intact. This suggests that the finish may be poorly adhered to the wood. Normally, when a chunk of poly comes off like that, it takes some wood with it.
If it were my guitar, I'd repair it before it has a chance to get worse.