Les Oeufs durs au Café de Flore

I've always loved hard boiled eggs. But I have to say here in the US, we have forsaken the hard-boiled egg. Please correct me if I'm wrong... Scrambled, fried, omlette (Fr.), poached, baked, Eggs Benedict, named after a traitor? this is not respectful, Huevos Ranchero, eggs over, eggs easy, eggs shirred or egg-in-the-moon etc.
I grew up eating what my moms' "Egg-in-the moon".
I always thought it was an Arte Déco dish.
First cut a round hole in the middle of one slice of the bread of your choice. Lightly toast it. In a small frying pan melt some butter. When bubbly add the toasted bread. Let it cook on just one side. Turn the slice over and break the egg so the yoke falls nicely into the cut-out circle. When the underside is browned turn it over again and cook the yoke just a bit.
Back to boiled eggs which I eat exclusively now.
In France things are different. The lowly boiled egg is greatly revered. It's even got 2 names: les oeufs durs or Les oeufs à la coque. And when resident at the Café de Flore, the boiled egg reaches new heights of glory. I'll be doing further research on this. Please be patient. I have yet to paint these beauties. They're also on the"to do" list.