I can't address what types of radiation or the potential dose, but as to dosimetry: If it was gamma, the dose is probably accurate, the badges are calibrated with an average of energies that you would find in a npp (usually 137 Cs), and the filters built into the badge itself can determine shallow dose, deep dose etc. In some cases the plants or the vendor who is processing the badges may have algoritms so tight that they can even identify some isotopes. If there was neutron, there is a possiblity of inaccurate measurement. With neutron dosimetry you have to calibrate your badges with a known source of known energy to respond to a known energy. (Actually it's also really about creating a proper algorithm, along with what elements the crystals are made of in the chips) So if you don't have a known or corresponding energy your badges could over respond, under respond or make no indication of exposure at all. (it's an albedo measurement)
Power plants generally have badges that respond with a great deal of accuracy at certain levels of reacter power. At higher percentages of power, I don't believe anyone can swear that the dose on the badges is the "real" dose. In some cases it could just be an educated guess. There are also variations in the type of dosimetry used or the manufacturer. Landauer luxel, Panasonic, the Harshaw.
One other caveat: I haven't processed dosimetry in over a decade, so there may be new info out there that I am not aware of. Have a great day!