It doesn't matter though, I still prefer my friend's eggs to store-bought ones, I'd rather not support that dirty industry.
While there are some taste differences in egg yolks, the taste difference in meat, between chicken that ate mostly what they had found themselves in a large area with abundant vegetation, insects and worms, and chicken that had been raised in industrial complexes, is huge.
Multiple groups have done tests on this. Kenji did a somewhat informal test, where he dyed the eggs so you couldn't discern the farm egg. The Japanese have done expert panel chicken feed tests. It's interesting stuff!
I think people want this "farm egg" thing to be true more than it really is true. People got mad at me on Twitter when I griped about those Vital Farms eggs (don't buy those eggs! they cost more than 2x as much as commodity organic eggs!).
That said, this applies to scrambled or fried eggs.
Omelettes not so much, as seasoning might play quite a big part, and even less with cakes, baked goods, etc. in which eggs are just one more ingredient.