I'm amazed that nobody mentions the British and their boiled eggs. I've read that the royal family have soft-boiled eggs every morning, and that when their chef tries to substitute fried, poached or scrambled, they cross it off and write "boiled" on the menu.
I'm also amazed that this article says "It can be challenging to eat a soft boiled egg without an egg cup...". I've been eating soft-boiled eggs since childhood, and to me the real challenge would be eating an egg in an egg cup!
A small bowl (custard size) is really the easiest and best way to serve the egg. Here's how:
With a teaspoon, remove the egg from the hot water and rinse it under cold water to stop the cooking. Hold the egg, wrapped in a paper napkin, in your hand and whack it at the middle with a dinner knife. If very runny, let it run into the bowl. Then split it in two and spoon the cooked part out of each shell into the bowl. To eat, dip your toast into the bowl for the good runny part and use the spoon for the rest.
Also, some people, including my mother (and, apparently, Ernest Hemingway, as he wrote it in one of his novels) add a pat of butter to the egg--can't do that with an egg cup!
Now, with an egg cup, how is a person supposed to remove the top of the egg without having the runny part go over the edges and all over the plate? Also, an egg cup is no good if you want more than one egg--unless you serve them in several egg cups. But why do that when a bowl will hold two or three eggs or more--just use a larger bowl!
I have never seen a soft-boiled egg served in an egg cup in a restaurant anywhere in the world, including England--it's always been in a small bowl.
As for cooking the egg, adding the egg to already-boiling water and timing it from then is much more reliable than putting the eggs in cold water is, unless you use the same amount of water every time. Otherwise, you won't know exactly how much time to allow for the water to come to a boil and it will throw off your timing.
Finally, I'm amazed that someone could have never heard of soft-boiled eggs! Don't children learn anything at home anymore?