From my experience a reasonably sound looking wooden-structure accident aircraft (from a distance) can be completely without strutural integrity and fall apart when lifted. Having said that: I have come across some pretty bad damages done by inexperienced, careless or inept recovery crews. Most recently a perfectly repairable insurance damage to a sailplane that was a complete write off after the recovery crew had accidently cut through the main spar stubs instead of undoing a single main wing bolt (1 minute of work!).