Saturated fats are not associated with all cause mortality, CVD, CHD, ischemic stroke, or type 2 diabetes.... [1]

The current available evidence found no significant difference in all-cause mortality or CHD mortality, resulting from the dietary fat interventions. [2]

[1] Intake of saturated and trans unsaturated fatty acids and risk of all cause mortality, cardiovascular disease, and type 2 diabetes: systematic review and meta-analysis of observational studies. BMJ. 2015 Aug 11;351:h3978. doi: 10.1136/bmj.h3978. http://www.ncbi.nlm.nih.gov/pubmed/26268692

[2] Evidence from randomised controlled trials does not support current dietary fat guidelines: a systematic review and meta-analysis. Open Heart. 2016 Aug 8;3(2):e000409. doi: 10.1136/openhrt-2016-000409. http://www.ncbi.nlm.nih.gov/pubmed/27547428