There are more rods than that. There have to be. There were so many you could`t topple the mast by shooting it. They tested it on a mast that the South Carolina class had. 200 12 inch shells could`t bring it down.
Actually (according to my vague recollection of Friedman) the original idea was the opposite - have a structure where shells would for the most part harmlessly pass through it. IIRC some ship had its cage mast actually ripped off in a storm, and tripod masts provide the same effect (and they finally realized how silly it was to assume adversaries would be aiming for such a relatively small part of the ship compared to the actual hull or superstructure) that they abandoned it after WWI.