> Isn't that what the old HAMS did?
Hams are very strange people.
Specifically they try to throw radio waves around the world. They can do this without a dirt-rod, but a di-pole takes twice the tower suspended "far" from earth. At TV frequencies this is convenient (rabbit-ears). At low frequencies it is much better to use the Earth as "the other side" of the dipole.
Hams also have the problem that any large structure will attract lighting and that lightning WILL go to earth! (Though if there is some expensive gear along the path, it will divert though that just for fun.) So those dirt-rods are vital safety measures.
As Wiki implies, much audio can be done withOUT any dirt-rod. E-guitar in rooms with wall-power is a marginal exception: we get less buzz if tied (even loosely) to the power system. And with the hackered-up gear some musicians and PA dudes use, 120V can be leaking all over and it is wise to drain it back to the power system (not earth).
The power company has a problem like hams: their poles attract lightning and in practice they MUST dirt-rod frequently in self-preservation. 105 years ago this was not clear and UN-grounded power was advocated. Easy to show in a lab that you can grab either side of a floating power source no-shock. But experienced power operators knew that all real power lines are riddled with cracked damp insulators, tree branches, leaky transformers, and lightning, and that grounded power is the only way to go.