"The larger point here is that when groups get larger, it’s an exponential change, not a linear one" --- this sentence is a big pet peeve of mine. It's not exponential, its quadratic. I get that the author trying to say superlinear and the distinction of exponential vs. quadratic doesn't feel much. However, if "math" is mentioned in every paragraph, better get the math right.
It seems like the author is misusing the term “network effects” (superlinear value growth with more users) and confounding it with “your network” aka “who you know.”