So let's recap. Cislunar space is radioactive and the moon is 30% more radioactive than cis lunar space. Assuming any transit through the VAB is indeed higher that cislunar space and the moon then it is logical that any lunar mission would have to have a higher dose rate than cislunar space. Can anyone find something wrong with this logic?
No, the species of particle matters in your analysis. You're trying to reduce this to pure scalar values. The secondary radiation from the Moon cannot be lumped together with GCR.
I will post this again for clarification: Measurements taken by NASA's Lunar Reconnaissance Orbiter show that the number of high energy particles streaming in from space did not tail off closer to the moon's surface, as would be expected with the body of the moon blocking half the sky.
Rather, the cosmic rays created a secondary — and potentially more dangerous -- shower by blasting particles in the lunar soil which then become radioactive.
"The moon is a source of radiation," said Boston University researcher Harlan Spence, the lead scientist for LRO's cosmic ray telescope. "This was a bit unexpected."
While the moon blocks galactic cosmic rays to some extent, the hazards posed by the secondary radiation showers counter the shielding effects, Spence said at a press conference at the American Geophysical Union meeting in San Francisco this week.
Overall, future lunar travelers face a radiation dose 30 percent to 40 percent higher than originally expected, Spence said.