http://www.feedipedia.org/node/245
Two of the most commonly found legumes in most yards in temperate climates in the US. I intentionally overseed my meadow with WDC just for the nutritional aspects of it, so my yard has even MORE of this type of forage.
What you also fail to factor in, and these studies do as well, are the genetics of commercial poultry and their activity levels. Calcium is utilized best when a creature exercises, when it's taken from the blood and utilized in the muscle and stored into the bone....when this does not happen, the excess calcium us filtered by the kidneys into the waste product of urine. When too much calcium is filtered through the kidneys or the kidneys are already genetically poor, they tend to form lithiasis in the kidney.
Commercial poultry don't exercise to utilize excess calcium...they barely walk from feeder to water and the layer hens can't move at all but to shuffle past each other in a tight cage. Consequently, any dietary calcium consumed by the broiler birds may or may not be utilized in the bones and muscle tissue, which results in increased lameness and heart failure of these birds....which is the usual cause of death in broiler birds all over the world, even in a backyard setting where they are raised in pens and tractors.
Commercial layers are utilizing their calcium somewhat in the form of shell formation but the males of these types of birds fed on the same level of calcium and not being able to exercise to utilize those calcium levels are and can be prone to lithiasis. Both their poor genetics, rapid growth factor and early sexuality, and the lack of exercise to utilize calcium properly are all factors in these studies that are never mentioned because they have no interest in changing either the genetics or the living conditions of the commercial poultry.
In a backyard setting, however, and with birds that are not genetically predisposed for a rapid growth, reproduction and an early death, and with freedom to move about, breed, run, chase, scratch, perch, etc. the dietary calcium is more easily utilized within the body and is not being constantly excreted as waste, therefor not taxing the kidneys into forming lithiasis.
When you can produce studies done on backyard flocks of mostly heritage breed type birds in regular settings of free range, occasional free range, coop and run situations, come on back to us with those studies. Until then you are comparing two very separate creatures.