There was this book called "artificial intelligence" we had on CS something like 20 years ago, which started by analyzing in detail how biological neurons worked in the first few chapters... so maybe you'll call me a "techbro" and just dismiss all I say, or read far enough to understand that these NNs are mimicking the behavior of actual neurons in a human brain.

We can discuss whether the higher level structures and processes are similar and to what degree, or whether the digital models represent the biological versions more or less accurately, but you can't deny that the building blocks are replicating the human brain behavior at some level, because that's exactly what they have been designed to do.