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He is already standing too close and that stick would arc with that many volts flowing through it. The most likely outcome in reality if it had been energized. The arc would have jumped from the stick to him and no more New Zealand guy.
With only 10'000 V? That's a common Livestock Guardian*. Reaches at most 1 cm.
* though it probably has enough ampere to kill a cow
Now if he'd just tossed the stick at it longwise so that it touched several wires at the same time, it might get a result. I'm personally not sure how much a reaction you'd get out of dry wood with 10,000 volts. Stripping the bark off of green stick with definitely be better, or a wet stick. Although if electricity arced through the stick at least it probably wouldn't kill him because of the amount of resistance that stick has.
You ever saw a electric fence at a high security installation? I just texted a guard at nearby prison and he said theirs are 5000 volts. He said when its humid they tingle when you get a few feet away. He also says they will kill you dead. He goes on to say its why they have another fence as a barrier to prevent people who don't respect them from killing themselves. I know the ones at a nuke were marked lethal and would kill birds from time to time. They were just marked high voltage but the plant guys told us they were very high voltage at a higher frequency.
Yep, Volt makes sparks, Ampere makes hurt.
Tesla coils usuallly have around 100k Volt and don't kill you. Tasers 20k to 40k i think? The high voltage in guardians is mostly so that it connects.