My favorite line from that show is from the episode with the Christian rock group when Hank says "you're not making Christianity any better, you're just making rock n roll worse"
The city King of the Hill's Arlen is based on is Richardson Texas, which is the next city over from Garland. It's close enough it's an easy mistake, and probably not a coincidence.
So, the article this is pulling from is a 2003 academic paper on class, race, and gender representation in American sitcoms. It's not an LLM produced bit of of insanity, nor is it someone who has never watched the show saying something unknowingly unintelligible.
It's a joke. Some dry humour, possibly put in there to see if peer reviewers had any idea about the then current television sitcom landscape.