Trying to decide if spending more on meat is worth it, and hoping to get feed back.

I've done pretty well with low carb, but wondering if I need to look at the quality of my food to continue making progress. Most of the low carb videos or blogs mention grass fed and organic, almost as a throw away line. What I mean by that is seems like it is promoted more as a "political" reason (environmental, humane, etc.) than a nutritional factor. That doesn't mean it is wrong, or I disagree, but I want to separate that from the actual nutrition question. Most articles talk about benefits without any actual studies showing end results. One of the arguments is Omega 6 vs Omega 3.

The article linked below suggests that you will get a much bigger reduction in Omega 6 by reducing chicken that you will buying grass fed beef. On the other side, you will get a much larger increase in Omega 3 by eating salmon.

https://medium.com/the-mission/is-g...ey-9d74cec4b3b1

What I am really interested in finding is if anyone has actually seen an improvement in their health, blood work, weight loss, or any measurable metric by switching from low cost meat and eggs to higher priced grass fed, organic and free range.