The fact is, unless you keep your birds locked inside a cage or indoor coop, they will supplement their diet. Protein is much less of an issue than people think, and the feed is less critical if the chickens are free-ranging (as I like to raise mine). They'll eat insects, snails/shells, etc. for additional protein, calcium, etc.
SO,
"Hope and Pray" they correct dietary deficiencies of the offered feed on their own.
Not a strategy I prefer to ascribe to. Moreover, the majority of backyard owners are unable to let their birds free range in a diverse environment to do so - their birds are constrained to what they are fed. That's an important consideration that should be noted when recommending your feed.
I don't raise mine on commercial mash. Mine are healthier for it. Most of the locals let their chickens forage around their homes and in the fields and give them little more than rice and rice bran for food, maybe some cracked corn. They are often strong enough to fly up into the trees to roost at night.
I've never heard of Purina Start and Grow formula sold in this country. The chickens don't miss it.
Knowing no better, you assume much. The men of North Korea think they are doing well too, until you compare one with his South Korean counterpart. Diet, particularly early diet, makes a huge difference in how creatures end up as adults.
Feel free to hold to whatever belief system you wish. I'm not here to change your mind against your will. You're welcome to present the facts as you see them. But I doubt your beliefs will have a chance of prevailing over my experience-supported understanding, which basically boils down to this: nature's way needs no improvement, and science can learn from nature, not the other way around.
So, facts -
We'll start with your numbers. Corn's protein content isn't that high. I know where you seemingly sourced it, some generic web page that offered an average of 10-15%, which you simply split in half. The other web page you reference offered 10.4% (still too high), so it already looks like you are cherry picking data to support preconceptions or a desired outcome. The reality is, Corn's protein content isn't that high. Had you followed the links from your other source (which offers a lower protein content, still), and spent a few moments on the USDA page, you would find these:
White Corn 9.4%
Yellow Corn 9.4%
Navaho Corn, 9.9% (if you can find it)
Similar results are here, on Feedipedia.org (9.4% European, 8.8% North African, 8.0 Sub-Saharan, 9.5% North American, 9.2% Central and South American)
You've used the protein numbers for
glutinous white rice. "Sticky rice". All rice is not the same.
Short Grain White (6.5%, but lower fat),
Long Grain White (7.13%, lower fat),
Brown rice (7.5%, higher fat, fiber). Those differences matter, but we'll overlook them as less signficant than the corn - just something to be aware of.
We get into the same problems when "beans" are treated as interchangeable. Here are
dried chickpeas (20.5 Protein, 6% fat, 12% fiber),
dried kidney beans (22.5, less fat, more fiber),
lentils (24.6% protein, less fat, more fiber),
dried northern beans (21.9% protein, less fat, more fiber),
dried cow peas (23.5, less fat, slightly higher fiber).
As with the corn, above, the generic selections don't have the protein ascribed to them in your assumptions.
Fortunately, in part, protein isn't the be all/end all. Amino Acid content is more critical. The ones we are most concerned with are Methionine, Lysine, Threonine, Tryptophan. Chickens can't produce these on their own, they need to obtain them from their diet.
Here are the
(old) NRCS recommends.
Newer studies but those levels MUCH higher for adolescent birds and certain breeds.
Targets for Met: 0.30 ADULT Layers (NRCS), .33-.46 (Breed dependent adult layers, various studies, table 3, above)
Lysine: 0.69 (NRCS), 0.68-0.85 (Breed dependent, table 3, ibid)
Threo: 0.47 (NRCS), 0.47-0.6 (BD)
Tryp: 0.16 (NRCS), 0.16-0.19 (BD)
Corn, alone, misses all of those targets. Per USDA, its about 0.2, 0.26, 0.35, 0.07 (Respectively) so each pound of corn in the mix needs to be compensated for by other ingredients above taget to average out.
Sticky white rice? Per USDA, linked above, 0.16, 0.25, 0.24, 0.08 - same problem with the corn. Your beans are going to have to do all the work int his recipe.
We'll use the dried lentils, they had the highest raw protein average. 0.21, 1.72, 0.88, 0.22, respectively.
Congratulations, you have 2/3 of the lowest target for Methionine, are fine on Lysine, are fine on Threonine, and barely made the lowest target for Tryptophan. Using any other bean, the numbers vary but are generally worse to much worse.
You have no source of
usable phosphorus, you have no source of B12, I haven't looked at any of the other vitamin needs (like Niacin and Selenium), the use of oystershell/calcium carbonate will provide calcium, yes, but not the phosphorus.
...and I've not begun to deal with the anti-nutritional factors of the ingredients you've chosen. That's next post.