This was only a mouse study, but they also looked at animal fat/saturated fat intake of metastatic men treated at some top institutions. They found an association between dietary saturated fat intake and PC lethality in men with metastatic disease who had a specific kind of tumor mutation called MYC amplification. About 37% of men with metastatic PC have MYC amplification.
What's more, they were able to extend life in mice with MYC amplification that were fed a low-fat diet. It also found that mice with PIN (a pre-malignant condition) progressed to MYC amplification when fed a high saturated fat diet. Dietary saturated fat intake had no effect if there was no PIN or no MYC amplification. Polyunsaturated and monounsaturated fat had no effect.
MYC amplification is something they can test for with a tumor biopsy. This study is not good evidence, but since reducing saturated fat intake is beneficial for the heart anyway, this seems like a no-brainer.