Yup.
And I’m sure an air blast can end up creating some C-14, a radioactive isotope of carbon.
The only thing I’m contesting here is somebody making a statement like unless you see piles of fallout, there is no radiation... that is simply not true, and might lead people to a false sense of security.
You and I are on the same page. I 131 and Sr 90 can occur in dangerous quantities without visible fallout.