It depends how low carb they are! Apparently for saturated fat to be ok it is no good eating carbs much at all or so one of the low carb gurus Phinney points out. It does cause atherosclerosis when taking with carbs.
Olive oil a monounsaturate, is fine.
D.
"
Evidence from large prospective cohort studies, clinical trials, and a systematic review of RCTs indicate that
high-MUFA diets are associated with improved glycemic control and improved CVD risk or risk factors (70,169–171). The intake of MUFA-rich foods as a component of the Mediterranean-style eating pattern has been studied extensively over the last decade. Six published RCTs that included individuals with type 2 diabetes reported
improved glycemic control and/or blood lipids when MUFA was substituted for carbohydrate and/or saturated fats (70,72,83,100,108,172). However, some of the studies also included caloric restriction, which may have contributed to improvements in glycemic control or blood lipids (
100,
108).
In 2011, the Evidence Analysis Library (EAL) of the Academy of Nutrition and Dietetics found strong evidence that dietary MUFAs are associated with improvements in blood lipids based on 13 studies including participants with and without diabetes. According to the EAL, 5% energy replacement of saturated fatty acid (SFA) with MUFA improves insulin responsiveness in insulin-resistant and type 2 diabetic subjects (
173)."
http://care.diabetesjournals.org/content/36/11/3821.full