I suppose technically you're correct. However, the nature of a postcard being what it is; you can't keep the people handling it from reading it, and if say a postal worker called in sick and was replaced by someone else... who happens to work for the TLA (Three Letter Agency) of your choosing.
Well...
Or even if the postcard contained some evidence of a crime or conspiracy, and it was the normal postal worker who happenned to catch a couple words in passing, then read the whole thing, then called the fibbies. That would no doubt be admissible.