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.
The numbers station should be transmitting a message encoded with a one time pad. The one time pad itself should be physically given in person to the spies who you want to communicate with.
There are many variants on this, including pads which you hope your enemy will intercept.
https://spectrum.ieee.org/wall-street-tries-shortwave-radio-...