I'd like to see a study on those with naturally low cholesterol. My dad and I (and some of his ancestors) have very low cholesterol and great LDL and HDL numbers without any medication or special diet. Dad's been told he has really good genes. Except he has AD. His sister has just started showing signs of dementia. Their mother died with AD. I'm not liking my odds here.
Could be that the usual AD genes are strong. Could be that those genes co-occur commonly with the same genes that allow me to be a butter and bacon eating machine. Could be that low cholesterol is a really bad thing for brain health. I figure I've got about 10 or 20 years to find out.