I think you've covered it adequately. The most important thing a bird can get from us is a balanced feed, and the chances of a backyard owner having the knowledge, inclination, resources, time and testing to make a complete feed are near zero. Best they can usually do is copy the works of another in hopes of ending up with what is, on average, a decent, balanced feed - but for every person choosing to copy J Rhodes, there seems to be several copying "Garden Betty", whose website is slick with feel good words.
The NUTRTITON matters.
"Raw" is not necessarily a benefit. For the health of your chickens, all legumes need to be heat treated to break down some anti-nutritional elements.
"Gluten-free"? Great - chickens are gluten free already, gluten is broken down by chicken's digestion then reassembled as different proteins useful to them in their own bodies. Depriving them of gluten-containing grains makes it that much harder to provide them a complete feed. Wheat, particularly, is a high protein source with some key amino acids in decent quantity, though the overall ratios are sub-optimal
"Soy-free"? While there are alternative legumes (see "Raw", above), soy is one of the most readily available sources of a nearly complete amino acid profile for your birds. You can build a complete feed w/o it, but its harder to source and often more expensive. You are going to have a hard time finding Methionine.
"Vegan" - without meat proteins, its hard to reach desired levels of certain critical amino acids. It can be done of course - peas and lentils are decent "green" sources for Lysine and Threonine, but poor source for Methionine. See soy-free, above, to get you closer.
"Organic"? Fine. Do you know its so hard to find adequate Methionine in green growing things that "Organic" certified feeds are allowed to add a small amount of synthetic Methionine (dl-Methionine) into their mixes, and even then, they usually just hit the low end of recommended amounts - better reach for those meat proteins, assuming you can find organic Porcine blood meal, or organic Fish Meal.
"Pre- and Pro-Biotics". Which ones? Without knowing whether or not they will survive the trip to chicken's gut, and what diegestion they are supposed to aid, its anyone's guess whether or not they are actually beneficial.
I could go on, but punching holes in the offerings of people offering glittering sounding "health" words with no knowledge, or worse, engaging in magical thinking without even the benefit of a consistent magical system is too easy to be entertaining.