I grew up with egg cups thanks to my mother. I do recall at least two conversations when her boarding school friends were visiting over the merits of three- vs. five-minute eggs.
An egg spoon is the de rigeur tool for eating out of an egg cup. Just sharply tap the top of the egg a few times, worm the spoon into the cracks, and slice off the top of the egg with the spoon.
Really. AY, were you proposing to use egg cups without egg spoons? Tres gauche.