Here is the abstract of the first NASA paper, "Investigation of Deuterium Loaded Materials Subject to X-Ray Exposure":
Some thoughts here: energies in the 65–280 kV (presumably keV) are an order of magnitude lower that the photodisintegration threshold of 2260 keV (to use your value, THH). The photodisintigration cross section is always quite low, so you'd need a large flux of 2.3+ MeV photons to see appreciable photodisintegration. Where would such an MeV flux arise in a 65–280 keV photon beam?
The low rate is not an issue if the rate is several sigma above the measured background; they mention 4 sigma. I suppose you'd need systematic error to discount this detail.
Side note: tritium has a half-life of 12.5 years. I'm curious whether that's consistent with a lack of noticeable change in rate of decay over a 12 month period. (It might be; I'm too lazy to do the calculation right now.)
I was getting things wrong (OOM issue!). So I've deleted my posts.
This looks interesting, but not much like LENR.