does copper, bell, or speaker wire carry energy faster
Do you mean the speed of electricity in wires? Why do you want to know? It is so fast, the differences make almost no difference in home applications. In unshielded copper conductor it is about 96% of the speed of light, while in a typical coaxial cable it is about 66% of the speed of light. If you had 100 meters of it, that would be the difference between 0.320 microseconds and 0.220 microseconds.
If he is an Electrician than my guess is that the wire is solid copper (not stranded). While this will technically work, it is not very flexible and it would be single wire which could mean getting the polarity (+ and -) easily confused. Save yourself the headache and just buy some 12 gauge stranded speaker wire. (It's not that expensive).
No, the speed of electricity along a wire is only a bit slower than the speed of light, and the type of wire does not change that by much if any. Besides, bell and speaker wire is usually copper. Note that the size of the wire determines how much energy is transferred along the wire as opposed to dissipating it in the wire itself. Thicker wire is better. .