From what I understand of research, and advisories from Harvard Health and the like, reducing red meat intake in particular can improve CVD risk. Saturated fat raises total cholesterol levels; not just the "bad" small ldl, granted, but that is still thought to raise health risk. It's worse when paired with refined carbs and sugar.

The Mediterranean diet, which is as of yet the most studied in nutrition, advocates for little red meat, moderate poultry and fish, more legumes and vegetables etc.