Not because it doesn’t work but because it requires the end user to have access to specialist equipment which is quite unusual and hard to explain away and there are other ways to do the same thing that don’t have the same limitations.
But just to be clear for anyone not familiar with this, what you’re hearing is the a message that was encoded using a one time pad and the reason it’s delivered in this quirky format is that it has certain properties that are ideal for clandestine work in dangerous areas where you need to pass a message over an open channel but you need to make sure that if anyone intercepts the message there is no information in there that will give any clues to the contents of the message or the intended recipient (I.e this second property is why encrypted email for example isn’t a suitable replacement).
Beyond that there isn’t really anything that special about it. They are the two properties it provides and that’s the message it’s delivering.
By way of a final example another famous one might be taking an ad in the classifieds section of a newspaper back in the day.
The end user knows where to look and what message they are looking for but nobody beyond the sender and the recipient know that the ad is even a message with another meaning to begin with, unlike the numbers station example however, that wouldn’t be appropriate for sending key material or an OTP encoded message (it needs to be random data) or anything beyond a very simple and low bandwidth message (I.e the operation is ready to start).