How would an LLM play like a human would? I kind of doubt that there is enough recounting of poker hands or transcription of filmed poker games in the training data to imbue a human-like decision pattern.

Also, if you set the bar for human players low enough, pretty much any set of actions is human-like. :p

I don't have an answer, but there's over a decade of hand history discussions online from various poker forums like 2p2 and more recently Reddit.