The electrons ( or holes) are already lined up in the circuit. Once you close the circuit, all the light will turn on immediately. Assuming the cable is a 0 resistance superconductor.
Hole flow - https://mste.illinois.edu/users/Murphy/HoleFlow/HoleFlow.php
Electrons aren't holes. A hole is a net positive charge from the nucleus of an atom that is missing an electron in its outer shell. Even if there were holes, the field propagating between holes is at best the speed of light in vacuum, but in reality will be slower due to the impedance of the medium. While superconductors have no resistance (the real part of impedance), they still have lossless reactance (inductance and capacitance) that will slow the propagation. If super conductors allowed instantaneous communication, it would void causality.
Hole flow theory, isn't about electrons, it is about their absence in positive ions.
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