Where are you going to find a specialized consultant expert enough to judge if its fake who also doesn't know that the painting he is looking at was recently stolen from a museum?
I don't think it's that hard to buy discretion if you're willing to pay a hefty fee. Besides how could anyone prove that you actually own the painting? I hire you, I fly you half the way around the world to a remote place where you're to examine the painting for a couple of weeks, you're paid and bye-bye.
I'm not saying that I know for a fact that this is how it's happening, but it doesn't seem far-fetched. What I do know is that a lot of what's happening in the art world is shrouded by a veil of secrecy.
The consultant doesn't need to prove it. The prosecutor does, if it gets to that point – but first there would be a police investigation, and the police have a variety of investigative techniques at their disposal.
Unusually tricky right now. Plus the number of people who can validate authenticity is quite limited and easily identifiable. A Van Gogh would be hard to forge but not that hard. There's recipes for paint/pigment manufacture going back centuries.
Are you implying that if they do recognize the original, they would report it as stolen?
It's an interesting question, and there are rewards for recovery so it's probably under the same trust calculus of any other criminal venture: pay enough that they don't.
Their ignorance is not required, they certainly should be aware it was stolen if they're any good at their job. All you need is someone who's willing to accept cash.