"Below is part of what I was wondering about: Doesn't that mean,
in reality, that, unless the PF is corrected, that the customer
is the one with the advantage?"

I guess that depends on exactly what the electric power meter installed
at your home is measuring. I don't know, but I would guess that for a
home it's not sophisticated and is likely only measuring RMS amps and
basing it on that? If that's true, then the billing advantage is to
the power company. But I would think the cost delta due to the power
factor issue is pretty small in the typical home.