I think I am basically asking to fix veneer here. Skipping the part of the conversation that this would be a waste of time (which I agree) I would like to know what would be involved in repairing a section of a single ply on a box top.
I suppose this would be like replacing a veneer but I don't know if plywood changes things. Here is an example of what looks like a water damaged box with drawers.
Here is a zoomed in version if it helps.
The focus of this question I am not concerned with the appearance after the repair. Although welcome, I am not looking for advice on matching finishes or aesthetic issues that will arise from patching this (That is covered in other questions and is usually answered good luck).