Polyunsaturated Fatty Acids = Omega 6's + Omega 3's.
I believe the whole idea of taking omega 3's to begin with is to re-address the modern tendency for sky high amounts of omega 6. In other words, there is suppose to be a balance between the two (1:4 in O6's favour at the highest)
Therefore I would argue by cutting back on Omega 6's you'll probably see greator benefit. And it would probably explain why some people don't see that much difference sometimes when they do supplement O3's.
In an ideal world though, you would have a good ratio between the two AND consume very little Polyunsaturated fats to begin with. Saturated fats are the ideal (I know this flies in the face of conventional thinking) in regards to dietary fat sources.
slow progress is still progress.