The magetic transmission process of electric guitar pickups is as alien to direct acoustic sound transmission as you can get. A magnetic field is induced, it is disturbed, induces an electrical current to be converted back to acoustic sound. So long winded and involves unrelated mediums.
No more so than a phonograph needle sending an electronic analog of the signal to a modern record player instead of an acoustical signal to a megaphone on an old gramophone.
Actually, the transducing process of a magnetic pickup isn't all that much different in principle from that of a condenser microphone, that has a metal-sputtered plastic membrane vibrating in front of an electrically charged (and thus electromagnetic) metal backplate, or a dynamic mic with its diaphragm moving a metal bar back and forth inside a magnetic coil. An analog of the sound wave is generated.
In each case, you have something vibrating in an electromagnetic field,. This disturbance of the field creates an analog of the sound wave. This is sent as an electronic signal to an application device, which creates a larger signal that is sent to another transducer, the speaker, which converts the electronic analog of the waveform back to sound waves.
The job of the pickup is to sense and transmit vibration of the string. That's all a microphone would do, except the mic would "hear" more of the whole guitar in the room. An analog of the waveform is created. It is sent to be amplified.
Moreover, guitar pickups are very microphonic. When I was a kid, you could actually talk into some guitar pickups and your words would come trough the amp. Yes, the pickup senses the strings vibrating, but it also directly vibrates from the wood vibrating. And of course, the strings' waveforms are also themselves affected by the vibrating parts of the guitar, hence the timbre we hear.
i realize you know this, and I'm quibbling.