I believe the LCKD is the best diet for those with type 2 diabetes and the research so far supports that. Saturated fat when eating low carb appears to be fine for most of us. I eat saturated and monounsaturated fats daily.
But there are exceptions. Phinney and Volek have found that 10% of their research participants do better on a higher carbohydrate diet. That said, they also say that the majority do better on a LCKD, so it's highly individual.
Dairy is a different conversation. Some thrive on it, other's don't mostly because they have developed a food sensitivity to it. Finding the right diet is a process of tweaking the diet until we each find what's best for us.
The Low Carb Dietician has posted on the high lipids issue that she herself experienced on LCKD diet, and she has found a way to manage it...
http://www.lowcarbdietitian.com/blo...ery-low-carb-ketogenic-diet-my-own-experience
http://www.lowcarbdietitian.com/blog/category/cardiovascular disease
The bottom line is that we need to pay attention to all our health markers by having lab work done once a year, perhaps quarterly or every six months the first year. For now, I'm continuing to eat high fat on the LCKD because all my health markers improved dramatically.