One time pads work only if only the sender and receiver have a copy of the pad - and they destroy each sheet on use. Distributing the pads is hard, but often it can be done easier than the message.
Distributing a one time pad like this is a stupid idea: it isn't hard to collect everything you ever send, and it takes a computer a few ms to check every encrypted message against every possible sequence. That is breaking a distribute one time pad via shortwave like this is something a single layperson can do, it doesn't even need a government scale attacker to break it.
Don't get me wrong, this can be used for good encryption. However it isn't a one time pad they are doing, it is something more complex.
Every message is equally likely when you attempt this kind of brute-force decryption with a one-time pad. The code you get is actually 100% unbreakable if the pad isn't intercepted.