This is almost certainly not true. Outside of heavy metals there are very few things that "accumulate" in the body and I can't find any papers mentioning nut toxins having this effect.
The article you mention doesn't answer this question. Read harder
https://medicalxpress.com/news/2024-03-pfas-blood-ubiquitous...
I'm not proposing that a single study is proof, but I'm default-skeptical of dietary claims without strong evidence, especially ones that comport with other aspects of worldview or preference.
[1] https://www.sciencedirect.com/science/article/pii/S143846392...