The History channel is junk, sadly. They're perfectly willing to promote false things. Both of the two recordings shown are likely not ball lightning.

I personally agree that ball lightning probably exists. However, there is another interesting phenomenon where a brilliant blue/white "spark" of electricity can travel along a wire. I don't have a name for it but power companies are certainly familiar with it. I've seen footage of it happening repeatedly along the same stretch of wire after a storm as an automated system tried to restore power a few times before keeping the power shut off.