During the nuclear reactions (E >10 MeV) secondary particles are emitted; the original particle may emerge at a lower energy. Secondary neutrons and high energy particles can cause additional reactions. It is the secondary particles, especially the neutrons caused by GCR, that are relevant.
So the secondary particles are relevant, not ionising radiation from radioactive isotopes.
Moon dust is radioactive and this article is the definitive proof.
Radioactivity and radiation are two different things. Yes, the outcomes are the same, in that ionising radiation offers biological damage due to deposition of energy. Radioactivity pertains to the activity of the nucleus. Ionising radiation has many guises. This cut and past from Wikipedia mentions nothing about radioactive dust.
The article even states that secondary neutrons are relevant. These result from strong force interactions between protons and the nucleus of the target material.
The radiation reflected from the Moon raise the Background radiation in orbit around the Moon 30 to 40 percent.
Radiation is not reflected in that sense. Please used words that pertain to relevant expertise in this subject.
The 30-40% figure is not refuted. In the abscence of this mechanism, say I have a baseline radiation of 0.1 mGy/day. What do I have if the figure is elevated by 30-40%. It's not the increase, but the outcome of the increase that is relevant. It's in the CRaTER data if you care to look.
Think about that for a minute. The surface of the moon is so radioactive that it increases the radiation in the lunar orbit by 30 to 40 percent. That is staggering.
If I have £1 in my bank account and deposit 40 p, that's not staggering. If I have £1000 000, and deposit £400 000, then that is a bonus. If I have £1 000 000 000 and deposit £400 000 000, then that is staggering. It's only staggering if what you start with is significant.