The balun thread has become long (138 posts). I propose that we not
discuss baluns, but concentrate on antenna balance and coax attachment.

Starting from the simplest of all situations, assume a dipole with an RF
generator in the middle. If we can't agree that this is a balanced
system, then we have nothing left to discuss.

Connect an additional wire to one side of the source so that you have
one wire on one side and two wires on the other side. Is it still balanced?