Note that some of these are studies and some are lit reviews (skimming other studies), and none does more than identify a correlation.

It could turn out that one or more of these foods has a direct causal effect on prostate cancer, but that would be a long way off. It could also turn out (and probably will, in most cases) that the kind of men who eat a lot of meat, eggs, etc are the kind of men who are more likely to get advanced prostate cancer because of some shared unknown factor, which wouldn't go away if they stopped eating them. In Dr Walsh's book, the one food that seemed to be accumulating enough evidence for a definite go-light recommendation was processed meats (bologna, hot dogs, etc). Again, not never, but go really easy them.

FWIW, I've been vegetarian since 1997, and was still diagnosed with de-novo stage 4 prostate cancer in 2021. Using moderation with high-cholesterol foods like meat, eggs, and full-fat dairy is a good health choice regardless, and we do know that obesity appears to have a strong correlation with many cancers, but I don't think we can control our own cancer destinies by cherry-picking isolated studies and lit reviews and chasing them. Our best bet is to eat a healthy balanced diet, stay active, and stick to our treatment (getting second and third opinions when necessary).