That won’t protect the radio at all. Electrons don’t stop instantly and between the antenna connector and the power input there’s a lot of components that are at a different potential than the coax shield and center conductor.
Yes, it’s not cheap.
Tying all of the legs to a single ground rod requires changing the path of the discharge. Having a ground for each provides a straight path to ground, plus having more rods reduces the impedance going to the ground. In an engineered ground system such as a substation you might even see a ground mat, chemicals, and other things done to minimize the resistance and create a large bed of equal potential.