I know some of the research is contradictory at best. EPA/DHA does exert an immunoregulatory response, with some research citing positive effects, and others negative ones.
In 2011, I dosed 10-12mg daily of EPA/DHA during a cut for 45 days, with a high protein, high fat and low carb diet, and felt that it helped me to lean out. I did this February - March and didn't experience more illness than is usual.
However, I did experience GI issues, resulting with me running to the bathroom off and on throughout the process. I tried tapering, altering the my intake slowly, higher fiber intake, etc., but nothing helped with the runs!