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Grounding really has little to do with lightning in the event of a strike. May minimize destruction to just melting/fusing your electrical system, antenna, mast, connected radio(s) and small fire(s). Grounding can be immensely helpful in diverting the energy from a nearby strike... If you have proper arrestors and grounding. Oh yeah... RF ground (different from electrical ground) does help antenna functions, and helps keep RF from getting into places you don't want it.
I can tell that your listening to old wife's tales about grounding and lightning. If your side of the story was true, all the cellular carriers would be replacing towers and antennas after every storm that went through. All the off the air TV stations and FM broadcast stations would be in the same boat. These towers take hits all the time. Most of the time the tower takes the hit, the grounding and surge protection does it's job and the equipment keeps right on trucking. I have seen towers take a hit, stand there steaming in the rain from the steel getting hot from the high current passage. Went inside the equipment shelter and everything was just playing the way it should.
As has already been mentioned, the NEC does have a section on grounding of telecommunication facilities and TV antennas on homes. It would be good advice to follow what they have to say.
Another good source is your home owner's insurance company. They normally have some guidelines that should be followed. If you don't follow their guidelines, they could refuse to pay on any damage that may take place to the dwelling or contents from a lightning strike.
Another piece of advice that I will pass along is if you have an old house, it would be a good idea to replace the ground rod at the electrical meter. These ground rods don't last forever. They tend to oxidize with time and loose their low resistance that your looking for. If the house is over say 10 to 15 years old, I would change out the existing ground rod.
