They are harder to make, though. The albumins break down over time, leading to a more liquid egg white. This, in turn causes the egg to spread out more when you are poaching them. Making a perfectly round poached egg by dropping it into a pot of salted, simmering water is very difficult if the egg is less than a few days old. That's why Starfrit sells egg poachers.

BTW, I don't know about the US, but in Canada, the supply chain often delivers eggs to the store that are 2 weeks old, so it's quite likely that most people have never cooked with a fresh egg before in their life.