The OP asked a question - should we be reducing the saturated fat content of our diet?
To answer that we need to understand how our bodies metabolise fats. Most people think that "Fat which we eat" = "Fat which we store ". Simple equation and simply wrong!
Our bosy runs a very efficient and effective cut and shut operation. Everything we eat gets stripped down to its underwear , then welded together in forms that our body and RNA code controls so that what gets stored is recognisable by our immune system,. i.e. becomes coded specific to us. So carbs get gutted till there is only glucose left. Fats get chopped up into smaller bits and then our body synthesises these bits into fatty acids and proteins. Some fatty acids are Saturated Fatty Acids (SFA) because this is the most efficient form for storage and also for burning for energy as ATP. This is why animals manufacture saturated fat, and we get butter and lard and cheese from them. We are animals too. So the only benefit from eating saturated fat is that it is nutrient dense, and we expend less energy making the components we need to synthesize. But even if you do not ever eat saturated fat, your body will be full of SFA.
The other point is that when fat is extracted from the gut, it is at that point alien to us, and would be attacked by the immune system. so our body wraps these fats into a bubble called a chylomicron, which is a supertsnker version of LDL, and this carries the fats etc direct to the liver for processing.The liver then produces LDL containing processed fats for storage in the adipose tissue. So the link between eating fats and LDL is not direct, but indirect.