Thanks for the link Allyn, as that's very interesting; it connects with something I'd wondered about back in August, when the latest version of the rumour was that Web, Enemy and Marco Polo had been found, but the BBC might have to pay to get them back.
The thing is, if TIEI/Philip Morris is doing this episode hunting, then they're paying money for all these foreign trips (and sometimes endangering themselves). So they have to get some sort of financial payback if they find something. But what?
But... which is the point Emperor-Tiberius isn't maybe spotting in wondering why the BBC just doesn't get its act together, is that the BBC isn't a normal profit-making company: since 1926 it's been a Royal Chartered Corporation, funded by a licence fee which you have to pay if want to watch TV in the UK, whether you watch the BBC or not. Guaranteed funding, but it comes with major limits on what the BBC is allowed to do.
Plus a lot of enemies - short summary: freemarket economic purists who reckon that nothing non-profit-led should exist, libertarians who [not entirely unfairly] see the Licence Fee as an unfair poll tax, rival media companies (starting with Rupert Murdoch's empire), and the Daily Mail. Not to mention political fanatics who hate the way that the BBC fails to run their world view as fact.
Next point: the charter has to be renewed every 10 years. We're now into the renewal renegotiation period: like a US Presidential election, it lasts two years, and stops anything sensible getting done in the meantime.
So basically, the BBC has a lot of enemies willing to use any excuse to attack it. It's also had a lot of trouble recently - apart from the Jimmy Savile scandal, which led to the third resignation of a Director General in 30 years (this one lasted 57 days in the job), there's also massive jobs-for-the-boys/girls payments for departing staff, and the whole Digital Media Initiative debacle (a good idea which didn't work and flushed £200 million down the pan before it was cancelled).
So, if the BBC was to pay money to get back its own property which it had carelessly lost, the Daily Mail would rip it apart in print. And then the various Parliamentary committees would do the same (think Congressional committees, but more forensically biting). And after that... all in the middle of the Charter renewal negotiations, which are already complex enough given that they involve the BBC and the government, and there's two major uncertainties about the government looming before the new charter would come in (The Scottish Independence Referendum in September, and the General Election in May 2015).
Sometimes Doctor Who is the side issue that gets affected by the big governmental ones in unexpected ways.