Mr. Howell (Jim Backus) says the robot walking to Hawaii across the bottom of the ocean to deliver a message to authorities so they can get rescued, would be their answer to Lloyd Bridges. Sea Hunt (1958) was a television show on SCUBA diving starring Lloyd Bridges.
The episode title is most likely a nod to "My Living Doll," an American science-fiction sitcom that aired for a mere 26 episodes on the same network, CBS, from September 27, 1964, to March 17, 1965.
Dawn Wells wrote on page 213 in her 2014 memoir "A Guide to Life: What Would Mary Ann Do?" that Bob d'Arcy was not only the robot in this episode, but he was also Bob Denver's stand in who did many of the more dangerous physical stunts on the series.