Real pasture raised eggs do taste better. I believe this is because the chicken get to eat bugs - store bought eggs that advertise "fed an all vegetarian diet" taste worse than regular store bought - though both are bad. (taste is of course subjective). Most store bought pasture raised eggs taste just like any other store bought egg - sure the chickens get to pasture but there are too many for them to get enough bugs in their diet.

It's well known that you can change egg taste by changing chicken feed, some people swear by it.

But the more the chicken can "graze naturally" the more likely it is getting everything it wants, which may improve health and taste.

Michigan just switched to cafe-free only at the start of a year due to a new law going into effect. Prices were increased around the holidays as retailers preemptively switched their stock.

Might not be well defined but I’m sure it’s defined enough to be law.

Right - here's the summary of the changes: https://www.michigan.gov/mdard/-/media/Project/Websites/mdar...

And the specific section of the law defining 'cage free' for Michigan:

https://www.legislature.mi.gov/Laws/MCL?objectName=MCL-287-7...

There may be some flexibility in consumers' understanding of the terms, but of course the legislature has actual rules.

Certain 3rd party certification systems exist, such a https://certifiedhumane.org/