Quite true. In fact, the geiger counter test happened to me once when making 32P labelled RNA in lab. I had a Geiger counter positioned behind me while working at the bench with a portable shield between the 32P and myself/the counter. A labmate (who, un beknownst to me, had recently visited the hospital for some tests) walked by me and made me very, very nervous for a minute while I tried to figure out what I'd splashed or did to cause the Geiger counter to go apeshit.
It also gives some perspective on how the US university system puts rather steep limits on rad work in labs but when it's hospitals the limits are quite a bit more relaxed.