This definitely felt inspired by Papers Please, so I think you nailed that homage. I was able to see the cracks in the eggs, but I could have sworn that a few eggs that didn't looked cracked got labeled cracked. As for the Live Eggs, I got a few failures related to that prior to getting the tutorial lesson (wasn't sure if that was intentional). Also I had several instances of using the x-ray machine and not seeing a chicken inside, but still getting the message that the egg was live...
I played for quite a while but I wasn't sure if there was a win condition. Music had a nice chill vibe and the menus and controls were pretty polished.