Meat illustrates the idea that the health of food product can not be separated from the health of the food chain. This means that the health of the soil, of the plants, of the animals and of the consumers depend on each other.
This leads us to a special rule for those who consume products of an animal origin: You are not only what you eat, you are also the consumed food of the animal that you eat.

This means that the animal nutrition whereby we eat is influencing the nutrition quality and the consequences that food has over our health, no matter if it is meat, milk or eggs.
This is supposed to be evidence, but unfortunately it is a systematic ignored truth of the industrial food chain, in his endeavor to produce huge quantities of cheap animal proteins. This effort changed the nourishment of the majority animals bred for consumption; they went from green plants to seeds and cereals over, because of the fact that animals grow faster and produce more milk and eggs if they are fed grains rich in calories. Some of these animals are ruminants which are evolved to feed on grass; if they eat too many seeds they get sick, therefore grain fed cattle should receive antibiotics.

Even those animals that tolerate cereals, like chickens or pigs, are much healthier if fed with fresh green plants, therefore their meat and eggs are healthier. Generally if the animals raised for consumption are fed with grass, their meat, milk and eggs contain much healthier natural fats (more fat acids omega 3 and conjugated linoleic acid or ALC, less fat acids omega 6 and less saturated fat) and higher amounts of vitamins and antioxidants.
Sometimes is the difference visible, for example the yellow butter or the orange yolk is because of the beta-carotene content in fresh grass. So it is worth spending more money looking for products from animals raised in a traditional way on pasture. And even if, seen from the outside, an industrial egg looks exactly like the one coming from hens fed on grass; the industrial egg is several times more expensive than the first one and the two are completely different. So the rule to eat more leaves and less seeds are applied not only for humans but also for animals that are part of our tropic chain