I’m not sure Amazon really had much of a PR department back in 2005 when they launched the service and named it after a chess-playing “automaton” that had a human hidden in it to do all the thinking. https://en.m.wikipedia.org/wiki/The_Turk
Personally, I think the historical reference is clever, but then I'd say the same if someone named an autonomous ship-control system "Flying Dutchman". Maybe I just have bad taste.