I believe the distinction they're trying to make is between "sounding like a human"(being able to create output that we understand as language) and "thinking like a human"(having the capacity for experience, empathy, semantic comprehension, etc.)
But nowhere in the original post was there a mention of "thinking like a human". The poster said that these systems, at their core, emulate human behaviors. Writing is a human behavior - as are all the things that are requirements for writing (operating within the rules of given language/s, making logical choices, etc). The things you listed as evidence of human thinking were never implied when talking about replicating what human writing is.
I believe the distinction they're trying to make is between "sounding like a human"(being able to create output that we understand as language) and "thinking like a human"(having the capacity for experience, empathy, semantic comprehension, etc.)