ex-nuclear navy here - I'm slightly suspicious. We routinely did radiation surveys of non-engineering spaces *just to be sure* but IIRC they were only performed every week? or month?. You need a lot of radiation to get sick from it though.
I'm suspicious of the aviators that never saw radiation before - every nuclear vessel has a workcenter of guys specially trained to detect, measure, and mitigate/cleanup contaminated stuff. All the skittles had to do was call down a few decks (I agree with Bot that the CO/staff are 100% responsible for this if its true.)

-works at a fossil plant now, because I'm lazy and dont miss the pay of the nuclear world

__________________
2009 Kia Sedona
2009 Honda Odyssey EX-L
12006 Jetta Pumpe Duse
(insert Mercedes here)

Husband, Father, sometimes friend =)