The legend of “eureka” is that a fellow who had a specific problem in mind noticed something specific to his problem. Discoveries like sticky notes are not the same thing.

Yes. The "eureka" legend refers to the ancient Greek scholar Archimedes. He was tasked with determining if a gold crown commissioned by the king was pure gold, or if the goldsmith had substituted some silver. While taking a bath, Archimedes noticed that the water level rose as he got in, and he suddenly realized that the volume of water displaced must be equal to the volume of the submerged object. This gave him the insight that by measuring the volume of water displaced by the crown, and comparing it to the volume displaced by an equal weight of pure gold, he could determine the purity of the crown. Excited by his discovery, Archimedes supposedly leapt out of the bath and ran naked through the streets of Syracuse shouting "Eureka!" which means "I have found it!" in Greek.