The resolution of the original "Paradox" of Maxwell's demon is that the demon is unable to perform the measurements required. The fallacy was that the measureme

The resolution of the original "Paradox" of Maxwell's demon is that the demon is unable to perform the measurements required. The fallacy was that the measurements could be "free". Isn't this the same thing? If you measure your succcess and choose to stop, you expend energy in order to measure whether you have succeeded. If you measure after each particle, you must do lots of measurements for very little gain. If you measure rarely, you can gain a lot of energy but your expected gain is low because the particles will average out?