My favorite "debunk" of Derek's video is here (spoiler: Veritasium is more correct than most though but still his point is not fully correct):
I enjoyed that video as well as this one, which approaches it from the theoretical/simulation side. It shows the propagation of electric field along the wires and throughout space, and the current through the bulb over time. The agreement between this approach and the experimental data from the other video is wonderful.
Response To Veritasium - Electricity Propagation Time Problem (Ben Watson)
Veritasium is making a number of important and correct points about how electricity travels, but I agree with many others that the way he describes it is confusing and potentially misleading as well.
It takes a few times the light travel time through the circuit for the
full current to flow through the bulb (steady state behavior), but it only takes the light travel time directly from the switch to the bulb for the initial current to begin to flow, the magnitude of which depends on the geometry and elements of the circuit. The transient behavior between the first burst of current and the steady state behavior is complicated and interesting as well, and a lot of video responses explore that in great detail, though I feel it isn't what Veritasium wanted to dwell on too much. His main point is that the immediate response is faster than most intuitions might suggest, because it is not forced to only flow through the wires.
His point about the Poynting vector and showing that the energy flows more directly from the battery to the bulb through space is also potentially misleading. Yes, the arrows are oriented like that, but the energy
density is greatest close to the wires (since magnetic field strength around a long straight wire goes as 1/r.) And when claiming that the energy is carried through the fields and not the electrons in the wires... well, that's more of a philosophical interpretation. Again, the energy density is greatest near the wires, and the fields are generated by the movement of electrons in the wires. So... ¯\_(ツ)_/¯
Perhaps the simplest distillation of Veritasium's video is that electricity involves the movement of charges, but the movement of charges can induce other charges far away to move, even if there is nothing but vacuum between them, and that influence goes at the speed of light.