Grass fed beef isn't a solution. Cows still produce a lot of methane. http://www.ox.ac.uk/news/2017-10-03-grass-fed-beef-good-or-b...
It also doesn’t take into account the massive energy use (and therefore, carbon release) of fertilizing, seeding, irrigating, harvesting and processing feed for conventional cattle.
So in total, I would expect grass fed meat to be much better than conventional meat, and possibly better than if we were to just eat crops directly.
I seriously doubt that this caused any significant net change in methane production.