The best available scientific evidence indicates that dietary satuarated fat IS linked to all of the health risks you mention.
What complicates the issue is that the chances of developing those conditions is dependent on a number of other factors, which obviously include:
obesity, especially visceral fat deposits
other dietary factors (e.g. ingestion of trans-fats)
It is not the case that the medical establishment believes dietary fat is the only cause of heart disease. In fact most research points to a modest link between saturated fat and CHD/CVD. However, it is one factor that people can alter with comparative ease.
This evidence comes from multiple sources - huge studies done over many years involving tens of thousands of participants - and is scientifically robust. There are a lot of sources on the internet that are still criticising evidence from thirty or more years ago.
Why wouldn't you believe your dietitian, a professional with hundreds of hours of specialist experience and training? But OK, fair enough, if you want to do your own research, then you need to look at something credible like the Cochrane review - gold standard meta-analyses which summarise current research in plain language terms.
Powerlifts: 500/363/573 @ 220 belt only
front squat: 403
dips: bodyweight + 176 x 4
military press: 232