The entire closing paragraph of the article is:
Vanderburg and Shallue will continue polishing the neural network to look for more exoplanets. Vanderburg thinks that as they sift through more of Kepler’s data, they’ll find more solar systems of a comparable size. “When I think about this, I start to wonder, is an eight-planet system like our own solar system really that extraordinary?” he said during the press conference. With 200,000 stars’ worth of data to study, we can look forward to more significant confirmation of our insignificance.
In the context of the entire paragraph, I wouldn’t say that the sentiment of we as humans are insignificant all (as arrogant as we, in general, I’ve never found that to be a prevailing thought, especially in close circles). However, what is being pointed out is that the structure of our solar system isn’t unique, and given the vastness of the universe, what we once believed as unique about our solar system (central star, orbiting planets, moons, number of planets, and so on) is really not so unique at all. In a universe with many other solar systems that have central stars, orbiting planets, and multiple planets, the solar system that we call home ends up being rather insignificant in that respect. And this is what I believe the author is pointing this out as well as the quote that lead to the closing sentence of the article.
And frankly, as a human, in comparison to the expansive universe that I’m living in, I am rather insignificant. I only have significance because God says I do. Recently, I felt so humbled that God would even be mindful of me, one who was once separated from Him. Yet, He thought of me and a purpose for me from before the foundations of the Earth… This reflection was brought on by watching a short video detailing the sizes of other stars and planets in comparison to the star and planet in our solar system. Then it went on to describe the size of other solar systems and galaxies and clusters…
Again, if anything I’m humbled at knowing that even though I’m nothing but a blip like an ant going about it’s life amongst the enormity of the universe, God is compassionate enough to show me favor and save me.