That seems to be searching for RCT's, which, I'm not surprised would struggle to replicate. Most of these had a duration of less than 5 years, while dietary related health outcomes are the result of decades of following a pattern. It's possibly also unethical, in some cases (i.e. the existence of effective LDL lowering medication would likely complicate things).

Many people seem to disregard epidemiology, especially when it comes to nutrition (I think because it tends to support unpopular positions). But epidemiology has performed some excellent feats in the name of public health: cholera, smoking, pfao.

It is unfortunate that the large time-lines on these things make more rigor difficult, but I wouldn't throw out the epidemiology.