Szczepan Bialek wrote:
The "dipole" where one element is connected to "live" wire and the second
to a "ground" is the monopole.

It is your misunderstanding that:

1. amateurs always connect coax directly to a dipole. they don't.
those that are in the know will use a balun.

2. the braid of the coax is "ground". this is not true. there will
be voltage at the braid of the coax at the antenna end when a balun
is not used.