Example 2 is a meme, no doubt about it.
If you go any deeper than the surface-level Google definition (that you are pedantically picking apart), then you will find literally any idea or unit of culture is a meme.
Read the last chapter of Richard Dawkins' The Selfish Gene. Actually please read the whole book, it's a masterpiece of science popularization. Or read Susan Blackmore's The Meme Machine, it explains the concept of memes and how they evolve in further detail.