I’m genuinelly curious were you got that from.
I actually went and checked the minimum air gap to avoid arcing at 10,000V at standard sea level air pressure and it’s actually measured in millimeters.
Further, is the voltage differential there between parallel conducting lines or is it between the lines and the ground?
I’m really having trouble seing how a dry stick would cause arcing between two of those lines short of bringing them nearer than 4 mm in the first case, much less between one of the lines and the ground in the second case if its being held at chest level.
PS: Mind you, it does make sense with a stick which is not dry - since the water in it makes it conductive - but then the guy himself would be part of the conductive circuit, which kinda defeats the point of using a stick.
What you want to do is create an arc between the stick and the line, and not have it transfer to you. A dry stick would do this quite well, since it would be at ground voltage and as such would provoke a short arc without electrocuting yourself. The fence also probably doesn’t have all that much power, likely can’t deliver more than a few amps, so it would be quite safe even.