My kind of humor.
Always found it an interesting aspect of chess that the most "common sense" rules (Players take turns; no skipping; one move per turn) result in the most unintuitive outcomes and a massive increase in complexity: Suddenly you can reason about the pieces a player won't be able to move in a turn, you can double-bind players, you get draws where its provably impossible for any player to win, etc.
(In that sense, chess is a bit like the IntercalScript language earlier today: All features are superficially reasonable and in the service of simplicity, yet result in the weirdest outcomes)
Wouldn't all this be gone for chess without turns?
Or would strategies become even more intricate, e.g. taking into account the minimum time you'd require to physically move a piece?