Unless the chickens do the work for you. If they prefer the sunflower seeds and canned tuna they might selectively eat less of the higher carb feed. But, I suppose it might depend on the chickens involved and exactly how much of the extras are being offered.It's not about adding fat to the diet, it's about substituting fat to reach dietary caloric needs for some of the carbohydrates.
Adding high fats to an already balanced diet isn't what's needed, because those added fats also add calories.
Mary
My flock gets a lot of sunflower seeds (they grow all over my property) and I'm fairly generous with black fly larvae. In 10+ years of chicken keeping, I've only had two sudden deaths -- and one occurred in my first year of chicken keeping when they were exclusively on chicken feed.
I wish there were more controlled studies looking at this. I realize that my experience is only anecdotal.