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This analogy is extremely simplistic and incomplete: The rapid propagation of a sound wave does not impart any change in the air molecules ' drift velocity, whereas EM waves do carry the energy to propagate the actual current at a rate which is much, much higher than the electrons ' drift velocity.
To illustrate the difference: The sound and the change in the air's drift velocity ( the force of the wind gust ) cross distance at rates equaling the speeds of sound and of mechanical transmission of force ( not higher than rate of drift velocity ); while a change in an EM field and the change in current ( electrons ' drift velocity ) both propagate across distance at rates much higher than the actual drift velocity.
You can hear wind much earlier than the force of the gust reaches you, but you do not observe a change in an EM field earlier than you can observe the change of current.

1.943 seconds.