Thousands of ordinary Japanese people are unknowingly accumulating higher than usual doses of radioactivity while consciously suffering many other deprivations and disruptions after the earthquake and tsunami. Reports exist of efforts to get dosimeters to first responders and TEPCO workers, but little evidence suggests much of an effort to supply personal dosimetry to ordinary citizens suffering exposures in this incident.
If it were me, and I was a Japanese resident of the areas West and North of the stricken reactors, and I knew everything I could find out about reported radiation monitoring in my vicinity, then I would want to know my personal dosage as I have gone about my business. This would be particularly true for me if my life called for me to spend many hours per day out of doors. I would be even more concerned if my activities carried me around to different parts of the area and to areas unfrequented by others. I wouldn't be satisfied with reports of generally low levels of airborne radiation at local sites, because I would know that incidence and concentration of radiation from an environmental release is typically spotty and uneven. But even in an area where most people could get around safely with out exposing themselves to undue risk from radiation, certain individuals' movements might just happen to increase their exposure to particularly hot spots in the patchy blanket of radioactivity let out by the plant. Until I see reassuring and reliable reports that control of all the Fukushima Daiichi had been positively established, the risk continues that at any moment another radioactive plume could ooze, reek, smoke or explode out of that plant.
There is simply no guarantee that radiation monitoring points will find all of warm, hot and hotter spots and particular individuals could easily and unknowingly stumble into more heavily contaminated areas and accumulate much more radiation than those around them. If I risked being radiated in excess of legal limits, I would wish to know about it.