A lot of the comments here are about "the second brain" framing as if we think in our gut, which doesn't appear to be what this research is about at all.
You are what you eat and gut health certainly impacts your brain. "A sound mind in a sound body."
But that's not really what this article seems to be about.
I'd say that there is some information processing happening in the gut, but I'd also say (in agreement with you) that these other comments border on irrelevant and are for the most part nonsense.