Earlier quoted context omitted.
That's not exactly correct. Electrons don't flow through wires - there's a one-way flow of the ambient electrons around the wire from the field created. See here: https://www.youtube.com/watch?v=bHIhgxav9LY
You're confusing the electrons and the electromagnetic fields. The electrons absolutely do migrate through the wires; the electric field does not. P.S. that video appears to have been written to confuse/generate controversy and does a terrible job of actually explaining.
That’s true. But very slowly in electrical terms. If I remember right the actual electronics in a reasonable circuit I read about was something like 1” per second. The vast majority of work done is an electron shuffle of bouncing into the next one in space.