Carbon fiber poles have a very high electrical resistance, I applied 12V DC @75 amps to a carbon pole (at the cut ends) and read .25 amps running intermitantly through it. An aluminum pole will transfer the full 75 amps instantly.
For a refernce I ran the same Volt/Amps through a piece of fresh cut green wood, which barely registerted.
I have run EDM's (electric discharge machining)where copper and/or carbon/graphite electrodes are used to precisely "burn" away metal. The copper electrodes burn hot and fast, and wear away quickly. Copper electrodes easily conduct, but dont hold good accuracy because of the wear factor. The carbon/graphite electrodes burn hot(you need more amps though), but slow, and dont wear as faster, but easily loose grounding because they have a much higher electrical restance than copper.
So my opinion is that if your trekking poles were the only route for the electricity to travel, then you would most definitely be better off with carbon, all other variables aside.