Studies have linked saturated fat to cholesterol levels and through cholesterol levels to heart disease.

Correlation is not transitive, i.e., X being linked to Y and Y being linked to Z does not necessarily imply X linked to Z. Unfortunately, biologists and health scientists make this kind of mistake all the time.

I haven't looked into the issue closely enough to tell what's going on, but it's possible nutrition science is in the process of realizing they made a mistake about saturated fat.

Weren't you trying to argue that mainstream science doesn't make mistakes?