Whether they can withstand being raised from the dep is another story, though. They might break apart. Typically, the Navy doesn't dig up old wrecks, with a few rare exceptions, like the Squalus. They'll treat it as a burial ground and leave it undisturbed. Someone may dive on the wrecks to better determine the boat's final fate (like if there are bomb holes in the deck or the hull was blown open by DCs).
The pictures that I saw of the Gudgeon showed a very deteriorated hull. You could barely make out the boat, anymore.