Broilers aren’t kept in cages generally, but if you don’t keep layers in cages then it’s a lot more labor to collect the eggs and make sure they don’t just eat them or break them. So the lowest quality eggs will come from chickens that live in cages stacked several rows high, with an incline in the bottom of each cage, so that when they lay the egg will roll onto a sort of conveyer belt that moves the eggs over to be packaged.

Source: my rural ass high school had ag classes and we went to some of these places. I guess it’s possible this has changed in the past 20ish years, but from what I know it hasn’t changed that much. If you didn’t grow up down wind of some of these places, consider yourself lucky.