I use groupings of 3 and try to make things punchy myself sometimes, especially when I'm writing something intended to sway others. I think the problem with this article is the way it feels like the perfect average of corporate writing. It's sort of like the "written by committee" feel that incredibly generic pop music often has.
When I write things, I often go back and edit and reword parts. Like the brushstrokes in an oil painting, the flow of thought varies between paragraphs and even sentences. LLMs only generate things from left to right (or vice versa in RTL languages, I presume). I think that gives LLM generated text a "smooth" texture that really stands out to anyone who reads a lot.
The biggest factor is simply how long you've been using LLMs to generate text, how often, how much. It's like how an experienced UI designer can instantly tell that something is off by a single pixel off upon first seeing a UI, whereas if you gave me $200 to find it within 10 minutes I might well fail.