There are a lot of specialists in the UK and abroad who specialise in re-building these old hulks. Why don't we just build some new ones? The precedent is already there with the FW-190's and Me 262's that are now available.
That way, when genuine wrecks are found, the 'handling fees' associated with the recovery should drop right through the floor.....
I'm not being simplistic (or trolling) just asking, to parapharse JFK 'why not'??