Very interesting.My assumption is that in the wild nest destruction is a relatively common experience for a hen. Lots of predators will take their eggs and if the hen gets away with her life she's had a result. Here, after many broody hens they all seem to know to leave their nests. When I first started some needed some encouragement to the point of shutting them out of their nest sites for half an hour or more and bum shoving them around to get them moving and fully awake. This is what I was told to do by a couple of the keepers here where I live who have had considerable experience in dealing with 'institutionalized' hens. My belief is for most, the instincts are not bred out of them, just suppressed. Given the right circumstances they have here at least returned to what would seem to be their ancestors and more natural behavior.
A hen that just sits on her nest and doesn't get off to eat etc is going to die.
I am lucky in that I was exposed to free range chicken keeping in my youth. I also saw the other side with the thousands of battery hens that were kept on the farm I spent my youth on.While keeping circumstances dictate what is and isn't practicable the error I find repeated on this forum and others is that somehow the 'natural' responses of chickens change through breeding and keeping arrangements. I don't believe this is the case. All chickens bar breeds like Cornish X and possibly some long bred Leghorns and other battery favorites have 'natural' responses, much like any other creature. It is not until the circumstances allow it that these innate behaviors are demonstrated.
I believe for example that for most who prevent broodiness by using the wire cage method would get the same result by removing the eggs and destroying the nest. But, with contained chickens this often isn't practicable.