Nuclear workers do not ingest or breathe in contamination...if there is airborne particulate contamination (something that is regularly monitored), anybody in the area will be wearing some form of respiratory protection. And, the anti-Cs I was referring to protect against contamination on the outside of the body.
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I guess you missed the reports that came out a few months after the disaster. Nuke workers VISITING the area (no gear) said to be safe for citizens were scanned for radiation and had surprisingly high amounts of contaminants in their lungs. It was believed that they inhaled it while visiting the area (friends, family) during their own personal time off.