The way that these edible substances are similar and relate to health, morbidity, and mortality is that when any of them are consumed, the body either converts them to energy through it's metabolic processes, and if consumed in excess the excess calories will be stored in the body as fat. Excess body fat leads to numerous health problems and stressors on the body, causing diabetes and cardiovascular disease. These conditions leads to circulatory problems which effects the whole body leading to such as neuropathy, strokes, heart damage, fatty liver, and kidney disease.
If consumed in moderate or even slightly restricted amounts, the health of the individual will be good as far as physical function. There are always other issues that can effect health such as accidents and enviromental pollutants, but even then, if the body has only the amount of calories it needs to remain functional it will generally have better immunity and ability to heal from injuries and exposure to chemicals/pollutants.
An excess amount of intake leads to higher morbidity, and earlier mortality in most cases.