Olive oil is a monosaturated fat and these fats are good for us. They help our bodies in many ways....reducing breast cancer risk to some extent, help improve our lipid profile, lower the risk for heart disease and stroke, lessen pain of arthritis, help in the reduction of belly fat, among other things.
Coconut oil is a rich source of medium- chain triglycerides. These are immediately burned by your liver for energy -- like carbohydrates, but without the insulin spike. MCTs actually boost your metabolism and help your body use fat for energy, as opposed to storing it, so it can actually help you become leaner.
Whether it works to help those with Alzheimer's or not isn't known for sure....but it might be helpful to some in maintaining good health. We must all decide what is best for us, work with medical professionals we trust and try to remember that moderation in all things is probably the best way to live...