Did Poe make a monkey out of Frasier?

Frasier Season 2 Episode 13
Martin is trying to find the killer in a cold case he never solved. Frasier figures it might be a trained monkey, and Niles says the killer paid homage to Poe.

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Classic rookie mistake, Frasier made a conclusion, then tried working backwards from there. Shows why Marty was able to clap him at Chess. Intelligence comes in many shades