Szczepan Bialek wrote:
The radial connected with the shield of the coax is the ground.

No Szczepan!
You keep saying that, but it is wrong.

When a coax shield is grounded at one end, and after a considerable
length of coax it is connected at the dipole, the shield at that
end is no longer ground.

Especially when the length of the coax is about a quarter wavelength,
it will have nothing to do with ground.