In the U.S. Navy the idea was somewhat the same. During the famous series of late 1940's tests at the pacific atolls, the observing ships pulled water straight from the ocean for bathing and showering, exposing men to radioactive contamination. Many of these men would develop odd illnesses some 10 to 20 years later that we now know is due to radiation exposure from fallout.
And if you ever wanted to see a visual layout of every nuke ever exploded(by whom and where) check out this video I found on the internet. It gets almost musical at its high point in the late 50's and early 60's before the above ground test ban treaty.