Would I do any further damage if I attempted to at least partially restore the case? Well, maybe, but anything would be better than the way it was.
As it turned out, the yawning gaps around the edges and elsewhere could be closed, and the wood veneer reapplied to the straightened core panels, with the use of plastic wood and clips. I should have taken a "before" photo, but didn't think about photographing the process until I was more than halfway through it.
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