Aerodynamics of propeller vs screw/fin based aerial propulsion

Would it make sense to use screw- and fin-like bending surfaces for propulsion (like what eels or the king of herrings have but in the atmosphere) instead of regular propellers or even flapping wings if you had super-strong materials that could change shape very fast? And if those materials had high energy conversion efficiency, but energy demands were still a concern? If not, how much thicker would the atmosphere have to be for it to become preferable? We are talking about heavier than air, high-speed flying machines.

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Aerodynamics of propeller vs screw/fin based aerial propulsion

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