You’re absolutely correct except that didn’t happen in the episode.
The deity was called “The Overseer” he only got the name Picard. Because Liko heard them call the captain by name.
“I believe I have seen the Overseer. He is called the Picard”
And Liko and his daughter would have been written off as dreaming if they hadn’t found Palmer.
NURIA: “Remarkable. You were speaking the truth“
For a comparison, two of your friends claim they were just abducted by aliens, then someone comes in dragging the body of and unconscious alien.