I think we need to specify that a club ride is when members of the club get together and ride. This could involve anywhere from 2 to 30+ cyclists. Most likely the larger number gets spread out a bit.
Organized rides are when an organization or club put on a ride and charges a fee to participate. There are SAG wagons and rest stops for these. Some of the larger charity rides like the Tour De Cure for diabetes(see my signature) do have County Sheriff or Highway Patrol support. Usually a couple of officers for the entire ride. Motorcycle riders with radios on the larger rides are great. They are easier to operate around the large number of cyclists and can move around the route easier. In remote mountain areas the motorcycle riders can talk to each other in "dead zones" and relay a message out to radio operators doing SAG.