I am just pointign out that the idea of robots being inmune to radiation is erroneous, radiation messes up with electronics pretty badly, and those andoids look like a robotic frame with some skin on top, so they don't look like they would be that well shielded. No idea why it got your panties in a knot that much.
Radiation doesn't mess up vacuum tubes like it does semiconductors. Since apparently transistors don't exist in the Fallout world all the robots and androids are probably built using vacuum tube technology.