Both are named in honor of the English logician Alan Turing, albeit the research in Turing switches is not based on Turing's research.
Alan Turing | Switch | Railroad switch | Turing test | switch | railroad switch | DIP switch | Union Switch & Signal | Turing machine | BBC Switch | Network switch | Flick of the Switch | Turing equivalence | Turing degree | Switch (house DJ) | Switch and Data | Strowger switch | Non-deterministic Turing machine | Class 5 telephone switch | Cisco Inter-Switch Link | Church-Turing thesis | Apple Switch ad campaign | 4ESS switch | 1ESS switch | Voice-operated switch | Turing completeness | Turing Award | Takeoff/Go-around switch | Switch (UK TV series) | Switch statement |