1. the tone is that of a smug outsider.
2. the speaker is not a Millennial.
Millennials don't seem to talk about themselves. They have allowed other generations to define (and design?) who they are.
This departs from the youth culture handbook. Normally, each generation assumes the right of self authorship. Thus did Richard Linklater and Douglas Coupland help define the alternative (or "indie") moment. It is for other, older generations to defer. In our culture, youth always knows better, especially one it comes to naming and claiming itself.
Now, there may be a number of Millennials who are widely seen to be authors and architects of their generation. (And I just know the comments field will fill with smug correction.) But let us observe that "Millennial" was created (I believe) by William Strauss and Neil Howe. When one generation allows itself to be named by another generation, the game is up. Even the alternatives were provided by another generation. I believe The Net Generation was proposed by Don Tapscott. "Generation Y" was proposed for awhile, but this was patently relation and honored that "Generation X" that had come before.
Now, it may be that this is the Millennial difference. They are, some of them, quite happy to embrace a status quo. If someone wants to name them, well, this is just one of the many things they are prepared to live with.
But we could work it the other way round. Generations are famously and properly touchy about what they are called. Much of the 1990s was taken up with people protesting attempts to create a name. The point was I think that the 1990s was to be extra-categorical and anti-categorical. The last thing Generation X wanted was a name.
Perhaps another strategy is to take anything given you without complaint, the better to escape this issue. Perhaps Millennials are living under the deep cover of the term called Millenial.
There are lots of other possible explanation: that this generation is too various for generalizations or labels too apply, that the digital options available to this generation are so interesting and engaging that no one really had time to notice or care what others said of it.
But I have to say, there is something odd here.
Wikipedia has a guite good review of the topic here.