>>12644193the excess of radiation on the moon vs in orbit is infrared radiation. the sunny side of the moon is very hot and the moon rotates once a month, which makes the average flux on any part of the moon substantially higher than at a low earth orbit station which is going in and out of the earth's shadow all the time.
"more radiation" is just a scary way of saying "warmer", it doesn't necessarily imply copious high energy photos that destroy human tissue.