Don't know where you live but here "pasture raised" means pasture raised.

As in the only grains they're eating are the ones growing in the pasture.

Their diets are mostly herbaceous sprouts, insects, and whatever seeds are available growing in the actual pasture.

If you're in a colder climate grain over winter or destocking over winter becomes necessary.

The best eggs will always be backyard hens that are loved and cared for and allowed to forage and fed kitchen scraps.

Pasture raised is second.

And "barn raised" is actually far worse than caged for both quality of eggs and cruelty to the birds.

And if you see the same brand or company selling "caged" and "free range" the "free range" is generally just barn raised with a few square metres of outdoor area to dust bath.

A company that only sells "free range" will have much better living standards for their free ranged birds than any company that does both free ranged and caged.