Thanks for your follow up, Chris.
I'm wondering if you're giving results from a couple of different studies. I can find the long-term study, but am not finding the study where the hens were fed 0, 4, 8, and 10% flax seeds. No matter.
The "Long Term" (25 weeks) study was done in Ontario.
http://ps.fass.org/content/82/3/388.long or
http://www.ncbi.nlm.nih.gov/pubmed/12705398
Additionally, it claimed that only yolk size was affected, but nothing else regarding egg size was affected. So, while the time factor and liver hemorrhages are the same as you indicate, the other stuff you mention isn't. Is there another study you are looking at? Must be.
Regardless, and I'm guessing you would think me foolhardy, but I am not afraid to feed my chickens flax seed at a rate of 1-2% and would do it if I felt like it. I tried it; didn't like it, and now I just don't feel like it. I'd rather keep the high Omega 3 foods for myself. I don't sell eggs, so I don't need it as a selling point (though it would be a good one). A chicken foraging with access to grass and forbs will have a good Omega 3 to Omega 6 ratio anyway. As to the OP (original poster), I don't feel comfortable making any suggestions to you. And I guess I really haven't suggested much more than looking up inclusion rates and to see how quickly flax goes rancid once it's ground. I surely wouldn't want your chickens to be anything other than in fit as fiddles.
The first study #1 mentioned above was done in Ontario. Study #2 done about 3 years later
also in Ontario (Canada not California for those living in LA (Los Angeles not Louisiana)), indicates that a lot of flocks in Ontario have a genetic predisposition (for lack of better term) to Hepatisis E which can be the cause of the liver hemorrhages. So maybe the reason why so many of the chickens in Study #1 that were *not* eating any flax seed were also experiencing liver hemorrhages is that lots of chickens in Ontario have "weak livers" (for lack of a better term). Granted, my logic leap, is just that a leap. However, it's a reasonable leap from my limited perspective.
Additionally, there are many studies that have not turned up any liver issues with regard to layers ingesting flax seed. So.
I guess it's another case of we can find a study to support whatever it is we want to believe or whatever management or feed practice we want to implement.