The buyer can't stop the payment as the wire is already complete and money in escrow.com's account. Escrow.com had to stop the payment and in this case they did so because there was a request from law enforcement.
Yes, I'm pretty sure this is where the FBI comes in. So the solution to this is: you agree to buy back your stolen property using an escrow service, then the FBI tells the escrow service not to release the money to a thief. Eventually you get your money back.