Most of the studies trying to induce dietary related health problems that I've read were in the mid 40% or higher for protein, while similar gout conditions could be induced at MUCH lower rates of calcium inclusion (6-8%, and just 4% for roosters and preadolescent birds of both genders). In fact the recommend for some broilers includes feeds at 26% (briefly - but broilers aren't destined for long lives...) That said, there aren't many studies, because protein is expensive - most studies are focused on how little protein can be offered to reach minimum levels of production/survival, not how much before it causes problems. If chickens weren't used as human analogues for studying urolithiasis and related maladies, we probably wouldn't have even the few we do have.
That said, I avoid feeds over 24%, because protein rates over 24% are associated with increased incidence of angel wing in water fowl generally, but particularly in ducks (which I have). It may relate to some of the leg problems Cx are famed for as well, but its both not studied in Cx AND Cx have unique genetics where long term health concerns are entirely disregarded.
Anecdotally, I feed my birds 24% protein for roughly their first 8 weeks of life to ensure they get an excellent start (its really the amino acids I'm looking for, Met and Lys) before dropping them to 20% when they join the main flock. Helps with initial growth/weight, good joint development, and excellent intestinal development (which contributes tofeed efficiency long term. Has some (tiny) and largely not understood/well explained benefit to their immune system as well, which persists even after reducing their daily protein intake.