Based on my experience at work lately, here is my guess on why CD is printed on the IAP:
When the company that developed the software that compiles the data to create the IAP was actually working on initial development, one of the developers that was in charge of the design for that part of the chart said "What frequencies should we print on the chart? It looks like some airports have a lot of frequencies, and it eats up a lot of real estate to print all those frequencies on there." The Lead Developer probably said "Hell, I don't know. I don't even know what "IAP" stands for. Just put them all on there - if they didn't want them displayed, they should have said so in the functional design." So they displayed all frequencies on the chart. Then someone from the chart company said "Oh wait, we don't need CD freq displayed on the chart." To which the development company said "OK, but that will be a change of scope, which means we'll need to tack on an extra $250k to make the change." The chart company said "Oh nevermind." The end.